Answer:
variables like terms are terms that contain the same varibles raised to the same power
Only 1/9 enrolled students in a school were absent. There were 4512 students present. How many students are enrolled in the school?
Answer:
5076.
Step-by-step explanation:
Let x be the number enrolled, then:
x - 1/9 x = 4512
8/9x = 4512
x = 4512 * 9/8
x = 5076.
Geet sells televisions. He earns a fixed amount for each television and an additional $25 if the buyer gets an extended warranty. If Geet sells 19 televisions with extended warranties, he earns $1,425. How much is the fixed amount Geet earns for each television?
Answer:
50 dollars.
Step-by-step explanation:
19 x 25= 475
1,425 - 475= 950
950 divided by 19 is 50.
Is 90 a whole number?
Answer:
Yes. if you're talking about factions then yes. If it wasn't, it would've had something like 90.7. So yes it is a whole number.
Step-by-step explanation:
Write an equation of a line that passes through the point T ( − 2, − 5 ) and is parallel to the line y = 5 x + 7 .
Answer:
y = 5x + 5
Step-by-step explanation:
the slope to be parallel y = 5x + 7 must still be 5. To make the line pass through T, the given point, you plug (-2, -5) into the y= mx + b formula. This becomes( -5 )= 5 (-2) + B, and you solve for b. In this equation, b = 5.
the magazine mass marketing company has received 15 entries in its latest sweepstakes. they know that the probability of receiving a magazine subscription order with an entry form is 0.5 . what is the probability that less than a third of the entry forms will include an order? round your answer to four decimal places.
The probability that less than a third of the entry forms will include an order is 0.3760.
To solve this problem, we need to use the binomial distribution, which is a probability distribution that describes the number of successes in a fixed number of independent trials. In this case, we want to find the probability that less than a third of the 15 entries will include an order, given that the probability of receiving an order with an entry form is 0.5.
Let X be the random variable that represents the number of entries with an order out of the 15 total entries. Then X follows a binomial distribution with parameters n=15 and p=0.5. The probability of less than a third of the entries having an order is equivalent to the probability of X being less than or equal to 5, since 5 is one third of 15.
Using a binomial probability table or calculator, we can find that the probability of X being less than or equal to 5 is 0.3760, rounded to four decimal places.
In summary, we used the binomial distribution to model the number of entries with an order, and found the probability that less than a third of the entries will include an order. We obtained a probability of 0.3760, which represents the likelihood of observing 5 or fewer entries with an order out of the 15 total entries.
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Urgent Need Help! worth 100 points
the answer to your question is 4 times 6, 4 times 3 + 4 times 3
have a nice day
Answer:
the answer to this math question is
4 times 6, 4 times 3 + 4 times 3
Step-by-step explanation:
Aleks Verfied
37% of 293
Best estimate
Answer:
108
Step-by-step explanation:
108.41 to be exact, 37 percent *293 = (37:100)*293 = (37*293):100 = 10841:100 = 108.41
Answer:
the answer is 108.41
Step-by-step explanation:
.37x293
if a triangle has three degrees that measure 75, 75 and 30, what type of triangle is it equilateral, scalene, isosceles
Answer:
it is Isoscales triangle
Step-by-step explanation:
it is Isoscales triangle because Isoscales triangle is the triangle having atheist two sides or angle equal and in that question there is two 75
\( \huge\sf \pink{A} \sf \red{n} \sf \orange{s} \sf \blue{w} \sf \green{e} \sf \purple{r}\)
It is an isosceles triangle.
\( \huge\sf \pink{R} \sf \red{e} \sf \orange{a} \sf \blue{s} \sf \green{o} \sf \purple{n}\)
Because it's 2 of sides are equal and one is different.
\( \huge\sf \pink{V} \sf \red{e} \sf \orange{r} \sf \blue{i} \sf \green{f} \sf \purple{i} \sf \red{c} \sf \pink{a} \sf \blue{t} \sf \green{i} \sf \purple{o} \sf \orange{n}\)
Remember,A triangle with two sides equal is known as isosceles triangle.
Also,This triangle have two sides with equal length.
The value of article Ps depreciated from RS. 1600. to
RS. 1024 in' two years find the rate of depreciation
Answer:
required answer is 20%.
The rate of depreciation is 36%, as the article's value decreased from RS. 1600 to RS. 1024 over two years.
Let's calculate the rate of depreciation step by step:
Step 1: Identify the given values
- Initial value (original value of the article): RS. 1600
- Final value (depreciated value of the article after two years): RS. 1024
Step 2: Calculate the depreciation amount
Depreciation amount = Initial value - Final value
Depreciation amount = 1600 - 1024 = RS. 576
Step 3: Calculate the rate of depreciation
Rate of depreciation = (Depreciation amount / Initial value) * 100%
Rate of depreciation = (576 / 1600) * 100% = 0.36 * 100% = 36%
So, the rate of depreciation is 36%. This means the article depreciated by 36% over the two-year period, going from RS. 1600 to RS. 1024.
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Jess is thinking of a number. Eight less than six times the number is 64. Find the number.
Answer:
-32
Step-by-step explanation:
the expression would be n ( 8 - 6 ) = 64. first solve whats in the parentheses, which is -2. then multiply n by -2, which is -2n = 64. divide 64 by -2, which is -32. to check, multilpy -2 by -32, which is 64. therefore the number is -32.
the rationale underlying the use of projective personality tests, such as the rorschach test and the thematic apperception test, is that they
The rationale underlying the use of projective personality tests, such as the Rorschach test and the thematic apperception test, is that they reveal the subjects' personalities by eliciting responses to vague, ambiguous stimuli.
The rationale underlying the use of projective personality tests, such as the Rorschach test and the Thematic Apperception Test, is that they can reveal a person's unconscious thoughts, feelings, and motivations. These tests use vague and ambiguous stimuli, such as inkblots or pictures, and ask the person to describe what they see or make up a story about the stimuli. The person's responses are believed to reflect their underlying personality traits and psychological conflicts.
The theory is that when faced with ambiguous stimuli, people project their own thoughts, feelings, and motivations onto the stimuli, revealing their unconscious processes.
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Write the equation of the line that passes through the points (-1, -2) and (5, -4).
Answer:
y = -1/3x - 7/3
Step-by-step explanation:
To find the slope, you have to plug the values into the slope formula.
y2 - y1/ x2 - x1
-4 - (-2) / 5 - (-1)
-1/3
Now to find the y-intercept, plug in one of the coordinates into the equation.
y = -1/3x + b
-2 = -1/3(-1) +b
-2 = 1/3 + b
-7/3 = b
The equation is y = -1/3x - 7/3.
The Solution is Y = - ( 1 / 3 )X - 7 / 3 where points are ( 5 , - 4) and ( - 1 , - 2) that passes through a straight line. Y = MX + C is the Formula for Straight line equation.
As per given problem, M is Slope
M = (Y2 - Y1) / (X2 - X1)
M = (- 4 - (- 2)) / ( 5 - (- 1))
M = - (1 / 3)
Now, Line becomes
- 2 = - ( 1 / 3) x (- 1)+ C
- 2 = 1 / 3 + C
C = - (7 / 3)
So, Solution: Y = - (1 / 3)X - (7 / 3)
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Consider a population regression model. For simplicity, ignore the subscript i that we normally attach with the variables. If k=2, then the model can be written as:
A. Y= β0 + β1X1 + β2X2 + e
B. Y = β0 + β1X1 + β2X2 +
C. Y = β0 + β1X1 + β2X2 = β0 + β1X1 + β2X2
D. Y = β0 + β1X1 + β2X2 + e
Among the given options (A, B, C, D), the correct population regression model when k = 2 is option D: Y = β0 + β1X1 + β2X2 + e.
In a population regression model, we are interested in modeling the relationship between a dependent variable (Y) and one or more independent variables (X1, X2, etc.). The model equation consists of the regression coefficients (β0, β1, β2, etc.) that represent the effect of each independent variable on the dependent variable, and the error term (e) that captures the unexplained variation in the data.
Among the given options, only option D includes all the necessary components of a population regression model with two independent variables (k = 2). It includes the dependent variable Y, the regression coefficients β0, β1, and β2 for the independent variables X1 and X2, respectively, and the error term e.
Options A, B, and C are incorrect because they either omit the error term or have an incomplete equation. The error term is crucial in accounting for the unobserved factors and random variation in the relationship between the variables.
Therefore, the correct population regression model when k = 2 is option D: Y = β0 + β1X1 + β2X2 + e.
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Consider an online support group which tackles opioid addiction patients. This is an example of digital health social network (DHSN). Suppose that there are 2 potential influencers and 40 potential patients. Let ni be the number of influencers who decide to join the network. Let na be the number of patients who decide to join the network. Assume that everyone is very conservative and will only join the network if the willingness-to-pay of joining is higher than or equal to his/her time cost. The time cost of joining the network is $20 and $5 for influencers and patients, respectively. Assume the willingness-to-pay functions described below are expressed in dollar value. Influencers (side 1) are content contributors, their willingness-to-pay function (u') of joining the network is: • If n2 = 0, u' = 0. If n2 > 0, u' = 2*n/n. Patients (side 2), who seek help, have the following willingness-to-pay function (u"): If n = 0, up = 0. If n = 1: u' =10, for n2<=10. • uP =10/(0.1*n2), for n2>10. [Too many participants → congestion!)? If n = 2: u' =10, for nz<=20. • u' =10/(0.05*n2), for n2>20. (a) Given the assumptions set above, if the company just starts this platform (i.e., it starts with 0 participants from both sides), how many participants will join on each side? Explain your answers.
Given the assumptions set above, the number of participants that will join the network on each side is as follows: two influencers and 17 patients.
Explanation :From the given data, the time cost of joining the network is $20 and $5 for influencers and patients, respectively. Influencers (side 1) are content contributors, their willingness-to-pay function (u') of joining the network is:• If n2 = 0, u' = 0. If n2 > 0, u' = 2*n/n. Patients (side 2), who seek help, have the following willingness-to-pay function (u"):If n = 0, up = 0. If n = 1: u' =10, for n2<=10.• uP =10/(0.1*n2), for n2>10.If n = 2: u' =10, for nz<=20.• u' =10/(0.05*n2), for n2>20.By putting n = 0 in u" equation, we get u" = 0 as there are no patients initially. By putting n = 1 in u" equation, we get u" = 10 as n2 = 0.
Since n2 = 0, putting n = 2 in u" equation, we get u" = 10 as well. Therefore, both the influencers will join as they both have u' > 20 and the maximum number of patients who can join the network are 17. This is because when n = 1, u" = 10 and n2 <= 10. For n = 2, the maximum number of patients who can join the network is 17 as per the equation u" = 10/(0.1*n2). Putting n2 = 17 in the equation, we get u" = 5.88 which is less than their time cost of joining the network.
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Select the correct answer Which is the correct simplified form of the expression (4m-2n^8)^1/2 ———— 9m^-6 n^-8
Answer:
\(= \frac{2m^2n^8}{3}\)
Step-by-step explanation:
Given expression is
\((\frac{4m^{-2}n^8}{9m^{-6}n^{-8}} )^{\frac{1}{2}\)
The correct simplified form is shown below:-
From the above equation, we will simplify
we will shift \(m^{-6}\) to the numerator and we will use the negative exponent rule, that is
\(= (\frac{4m^{-2}n^8m^6}{9n^{-8}} )^{\frac{1}{2}\)
now we will shift the \(n^{-8}\) to the numerator and we will use the negative exponent rule, that is
\(= (\frac{4m^{-2}n^8m^6n^8}{9} )^{\frac{1}{2}\)
here we will solve the above equation which is shown below
\(= (\frac{4m^4n^{16}}{9}) ^\frac{1}{2}\)
So,
\(= (\frac{(2)^2(m^2)^2(n^8)^2}{(3)^2} ^\frac{1}{2}\)
Which gives result
\(= \frac{2m^2n^8}{3}\)
6. Juliana's Beach Ball Company produces two sizes of beach balls. The small beach ball has a volume of905 in^3 and the giant size beach ball has a volume of 7,240 in^3 How many times longer is the diameterof the giant beach ball than the smaller beach ball?
The beach balls are spherical.
\(\begin{gathered} \text{volume of the small beach ball=905 inches}^3 \\ ^{}\text{volume of the large beach ball 7}240inches^3 \end{gathered}\)Therefore
\(\begin{gathered} \text{volume}=\frac{4}{3}\pi r^3 \\ r=\frac{d}{2} \\ \text{volume of the small ball=}\frac{4}{3}\pi r^3 \\ 905=\frac{4}{3}\pi(\frac{d}{2})^3 \\ 905=\frac{4}{3}\times\pi\times\frac{d^3}{8} \\ 905=\frac{4\pi^{}d^3}{24} \\ 21720=4\pi d^3 \\ d^3=\frac{21720}{4\pi} \\ d^3=\frac{5430}{\pi} \\ d^3=\sqrt[3]{\frac{5430}{\pi}} \end{gathered}\)The diameter of the giant beach ball can be found below
\(undefined\)Find the maximum volume of a cylindrical soda can such that the sum of its height and its circumference is 150 cm.
20371.83 cm³ is the maximum volume of a cylinder.
What is volume?The space occupied within an object's borders in three dimensions is referred to as its volume.
It is sometimes referred to as the object's capacity.
So, consider a cylinder with a radius of r and a height of h.
The cylinder's volume is: V = πr²h
Because its height plus circumference equals 120 cm.
h + 2πr
h = 120 - 2πr
Changing the value of h in the cylinder's volume equation:
V = πr² (120-2πr)
V = 120πr² - 2π²r³
To get the biggest volume, compare the above expression to r and equate it to zero:
dV/dx = 240πr - 6π²r² = 0
6πr(πr-0) = 0
r = 0, r = 40/π
The cylinder's radius is: r = 40/π
Now: h = 120 - 2π(40/π) = 80cm
Changing the values of r and h in the cylinder's volume formula:
V = π(40/π)²*40 = 20371.83 cm³
Value of π = 3.14
Therefore, 20371.83 cm³ is the maximum volume of a cylinder.
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Solve this system using ANY method. 3x + 6y = 04x = 2y-10
To solve this question, let's choose the substitution method. So, you can follow the steps to find x and y.
Step 1: Isolate x in the first equation.
To isolate x:
First, subtract 6y from each side of the equation.
Second, divide both sides by 3.
\(\begin{gathered} 3x+6y=0 \\ 3x+6y-6y=0-6y \\ 3x=-6y \\ \frac{3x}{3}=\frac{-6y}{3} \\ x=-2y \end{gathered}\)Step 2: Substitute x by -2y in the second equation.
\(\begin{gathered} 4x=2y-10 \\ 4\cdot(-2y)=2y-10 \\ -8y=2y-10 \end{gathered}\)Step 3: Isolate y in the equation found in step 2.
To isolate y:
First, subtract 2y from both sides of the equation.
Second, divide both sides by -10.
\(\begin{gathered} -8y=2y-10 \\ -8y-2y=2y-10-2y \\ -10y=-10 \\ \frac{-10y}{-10}=\frac{-10}{-10} \\ y=1 \end{gathered}\)Step 4: Find x by using the relation found in step 1.
Use the equation found in step 1 and substitute y by 1.
\(\begin{gathered} x=-2y \\ x=-2\cdot(1) \\ x=-2 \end{gathered}\)Answer:
x = -2 and y = 1
or
(-2, 1)
How can i learned maths hardly?
Learning math can be a challenging task, but with persistence, hard work, and effective study strategies, it is definitely possible to improve your math skills.
Some tips that may help you learn maths quickly and efficientlyStart with the basics: Make sure you have a good foundation in basic math concepts before moving on to more advanced topics. Practice basic arithmetic, fractions, decimals, and percentages until you feel comfortable with them.
Focus on understanding, not just memorizing: Math is not just about memorizing formulas and equations; it's about understanding how and why they work. Focus on understanding the underlying concepts and principles.
Practice regularly: The more you practice, the better you will get. Try to set aside some time each day to practice math problems. This will help you build your skills and improve your understanding.
Use multiple resources: Don't just rely on one textbook or resource. Use multiple resources such as online tutorials, videos, practice problems, and textbooks to get a well-rounded understanding of the topic.
Seek help when needed: Don't hesitate to ask for help if you are struggling with a particular topic. You can reach out to a teacher, tutor, or online community for help.
Stay motivated: Math can be challenging, but it's important to stay motivated and not give up. Keep a positive attitude, celebrate your successes, and remember that every mistake is an opportunity to learn and grow.
Remember that learning math takes time and effort, so don't get discouraged if you don't see immediate results. With persistence and hard work, you can become proficient in math.
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Find the sum of 3 and -3
Answer
The sum of 3 and -3 = 0
Explanation
The sum of two numbers is the addition of both numbers.
Hence, the sum of 3 and -3 is written mathematically as
3 + (-3)
But we should also know that adding a negative number is the same as just subtracting that number
3 + (-3)
= 3 - 3
= 0
Hope this Helps!!!
Classify each number according to its value. 3.2 × 105 1.9 × 10-1 2.2 × 103 2.4 × 103 5.9 × 102 6.1 × 101 2.5 × 104
Numbers greater than 1: 3.2 × 10⁵, 2.2 × 10³, 2.4 × 10³, 2.5 × 10⁴.- Numbers between 0 and 1: 1.9 × 10^⁻¹.- Numbers less than 1: 5.9 × 10², 6.1 × 10¹.
The given numbers can be classified according to their values into three categories:
numbers greater than 1, numbers between 0 and 1, and numbers less than 1.
1. Numbers greater than 1:
- 3.2 × 10⁵:
This number is in scientific notation, where 10⁵ means multiplying the number by 10 five times.
So, 3.2 × 10⁵ = 3.2 × 100,000 = 320,000.
- 2.2 × 10³: Similarly, 2.2 × 10³ = 2.2 × 1,000 = 2,200.
- 2.4 × 10³: This number is the same as the previous one, so it also belongs to the category of numbers greater than 1.
- 2.5 × 10⁴: Similar to the previous numbers, 2.5 × 10⁴ = 2.5 × 10,000 = 25,000.
2. Numbers between 0 and 1:
- 1.9 × 10⁻¹ : Here, 10⁻¹ means dividing the number by 10 once. So, 1.9 × 10⁻¹ = 1.9 ÷ 10 = 0.19.
3. Numbers less than 1:
- 5.9 × 10²: This number is between 1 and 10, so it belongs to the category of numbers less than 1.
- 6.1 × 10¹: Similarly, 6.1 × 10^1 = 6.1 × 10 = 61.
- Numbers greater than 1: 3.2 × 10⁵, 2.2 × 10³, 2.4 × 10³, 2.5 × 10⁴.
- Numbers between 0 and 1: 1.9 × 10^⁻¹.
- Numbers less than 1: 5.9 × 10², 6.1 × 10¹.
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Which rational number is greater (-4 6/10) or (4.65)
Answer:
-4 6/10 = -4.6
4.65=4.65
so i think hopefully it is -4.6
Step-by-step explanation:
The heights of people in a certain population are normally distributed with a mean of 64 inches and a standard deviation of 3.1 inches. Determine the sampling distribution of the mean for samples of size 39.
The sampling distribution of the mean for samples of size 39 has a mean of 64 inches and a standard deviation of approximately 0.496 inches.
We are required to determine the sampling distribution of the mean for samples of size 39, given that the heights of people in a certain population are normally distributed with a mean of 64 inches and a standard deviation of 3.1 inches.
The sampling distribution of the mean is also normally distributed. To find the mean and standard deviation of the sampling distribution, you'll use the following formulas:
1. Mean of the sampling distribution (μx) = Mean of the population (μ)
2. Standard deviation of the sampling distribution (σx) = Standard deviation of the population (σ) divided by the square root of the sample size (n)
Applying these formulas:
1. μx = μ = 64 inches
2. σx = σ / √n = 3.1 inches / √39 ≈ 0.496
So, the mean is 64 inches and a standard deviation is approximately 0.496 inches.
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Suppose Becky has a budget of $32 that she spends on movies (Q 1 ) and roller skating (Q 2 ). The price of movie tickets recently increased from $5 per person to $8 per person, and the price of roller skating decreased from $5 to $4 per p What is Becky's new budget constraint?
Answer:
8Q1 +4Q2 ≤ 32
Step-by-step explanation:
You want to know Becky's budget constraint if she has a budget of $32 that she spends on Q1 movies at $8 each, and Q2 roller skating tickets at $4 each.
SpendingBecky's spending will be the sum of the costs of movie tickets and skating tickets. Each of those costs is the product of the ticket price and the number of tickets.
movie cost + skating cost ≤ ticket budget
8Q1 +4Q2 ≤ 32
<95141404393>
Answer: Let's assume Becky's budget is allocated as follows:
x: Quantity of movies (Q1)
y: Quantity of roller skating (Q2)
p1: Price of movies per person
p2: Price of roller skating per person
B: Budget
Given the following information:
Initial price of movies (p1) = $5 per person
Updated price of movies (p1') = $8 per person
Initial price of roller skating (p2) = $5 per person
Updated price of roller skating (p2') = $4 per person
Initial budget (B) = $32
We can calculate the maximum quantities of movies and roller skating using the formula:
Q1 = (B / p1') - (p2' / p1') * Q2
Q2 = (B / p2') - (p1' / p2') * Q1
Let's substitute the given values into the formula:
Q1 = (32 / 8) - (4 / 8) * Q2
Q2 = (32 / 4) - (8 / 4) * Q1
Simplifying the equations, we get:
Q1 = 4 - 0.5 * Q2
Q2 = 8 - 2 * Q1
These equations represent Becky's new budget constraint, considering the updated prices of movies and roller skating.
All of the following are suggestions of things to do if you have time left after completing the test except:
The correct option is B. Reread the directions for each section.
If you have time left after completing the test don't reread the directions for each section.
What is meant previewing a test?In order to find the various problem kinds and their point values during the test preview, you must read the complete test. Mark the questions that you can answer quickly and easily.
The benefits of previewing the test are-
You will probably be given credit for the answers even if you accidentally copied them from the scratch paper.Your effort on the scratch paper can earn you some points if a thoughtless mistake causes you to get the answer wrong.If you do make a mistake, it will be simpler to find it when the instructor goes through the test. By doing this, you can avoid making the same errors on your next exam.Therefore, resolve each issue by re-entering the solution into the equation or performing the opposing operation needed to provide the appropriate response. Do not leave the testing room until the bell has rung or after you have gone over each problem twice.
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The complete question is-
All of the following are suggestions of things to do if you have time left after completing the test except
A. Look at your answer sheet to make sure its filled properly
B. Reread the directions for each section
C. Return to the questioms you were unsure of
D. Make sure your answers correspond to the correct questions
4) Find the area.
7 points
7 in
18 in
10 in
18 in
236
180
125
56
Answer: its 236
Step-by-step explan
PLEASE ANSWER - BRAINLY IF 2 ANSWERS - THANKS ON PROFILE TOO - 5 STAR RATING!
Answer:
b
Step-by-step explanation:
what are possible solutions for -6c > -2
Answer: x < 1/3
Step-by-step explanation:
How do you write 300000000 in standard form?.
To write 300000000 in standard form, we need to move the decimal point to the left or right so that there is only one non-zero digit to the left of the decimal point.
300000000 in standard form would be written as 3 x 10^8.
To arrive at this form, we move the decimal point 8 places to the left (since there are 8 zeros in 300000000) and add the power of 10 notation, indicating that we moved the decimal point 8 places to the left. The number 3 is the coefficient and 8 is the exponent. This way, we get 3 x 10^8 which is the standard form of 300000000.
Standard form, also known as scientific notation, is a way of expressing a number in a compact and efficient manner. It is typically used for very large or very small numbers.
When a number is written in standard form, the decimal point is moved so that there is only one non-zero digit to the left of the decimal point. The number of places the decimal point is moved is indicated by a power of 10.
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Jason is traveling by car from his home to his office. He has gone 3.5 miles so far. From this point on, he can cover 100 miles every 2 hours. What is the equation of a line that models the total miles traveled, y, in x hours after this point?
There is step to step calculation
Hope is helpful