Question 1

Why is the slope of a vertical line undefined?

Accepted Answer

The answer of Why is the slope of a vertical...

Question 2

When going more than 38 miles per hour, the gas mileage of a certain car fits the model $ y=43.81-0.395 x $ where $ x $ is the speed of the car in miles per hour and $ y $ is the miles per gallon of gasoline. Based on this model, at what speed will the car average 15 miles per gallon? (Round to nearest whole number.)

Accepted Answer

B

Question 3

Solve the problem.
-In order to receive a B in a course, it is necessary to get an average of $ 80 \% $ correct on two one-hour exams of 100 points each, on one midterm exam of 200 points, and on one final exam of 500 points. If a student scores 92 , and 83 on the one-hour exams, and 141 on the midterm exam, what is the minimum score on the final exam that the person can get and still earn a B?

Accepted Answer

B

Question 4

Find an equation in slope-intercept form (where possible) for the line.
-Through $ (13,5), \mathrm{m}=-2 $

Accepted Answer

The slope-intercept form of a line is $y = mx + b$, where $m$ is the slope and $b$ is the y-intercept. Given a point $(x_1, y_1) = (13, 5)$ and a slope $m = -2$, we can use the point-slope form $y - y_1 = m(x - x_1)$ to find $b$. Substituting the given values, we get $5 = -2(13) + b$, which simplifies to $5 = -26 + b$, leading to $b = 31$. Therefore, the equation is $y = -2x + 31$.

Question 5

Graph the equation.
-y + 2 = 0

Accepted Answer

The answer of Graph the equation.
-y + 2 = 0...

Question 6

Can an equation of a vertical line be written in slope-intercept form? Explain.

Accepted Answer

The answer of Can an equation of a vertical line...

Question 7

Give a definition or an example of the word or phrase: Zero slope

Accepted Answer

The answer of Give a definition or an example of...

Question 8

A study was conducted to compare the average time spent in the lab each week versus course grade for computer students. The results are recorded in the table below. Use the equation of the
Least squares line to predict the grade of a student who spends 5 hours in the lab.

Accepted Answer

The answer of A study was conducted to compare the...

Question 9

Find the correlation coefficient.
-The following are the temperatures on randomly chosen days and the amount a certain kind of plant grew (in millimeters):

Accepted Answer

The answer of Find the correlation coefficient.
-The following are the...

Question 10

John has been a teacher at West Side High School for the past 12 years. His salary during that time can be modeled by the linear equation y = 800x + 33,000 where x is the number of years since he began teaching at West Side and y is his salary in dollars. Explain what the slope, 800, represents in this context.

Accepted Answer

The answer of John has been a teacher at West...

Question 11

If a company decides to make a new product, there are fixed costs and variable costs 
associated with this new product. Explain the differences of the two types of costs and
why they occur. Use an example to illustrate your point.

Accepted Answer

The answer of If a company decides to make a...

Question 12

Find the correlation coefficient.
-Consider the data points with the following coordinates:

Accepted Answer

The answer of Find the correlation coefficient.
-Consider the data points...

Question 13

Accepted Answer

The answer of ...

Question 14

Solve the problem.
-Suppose that the price and supply for a certain model of graphing calculator are related by $ \mathrm{p}=\mathrm{S}(\mathrm{q})=4 \mathrm{q} $, where $ \mathrm{p} $ is the price (in dollars) and $ \mathrm{q} $ is the supply (in hundreds) of calculators. Find the supply if the price is $ \$ 89 $. Round to the nearest whole number if necessary.

Accepted Answer

The answer of Solve the problem.
-Suppose that the price and...

Question 15

Find the equation of the least squares line.
-Ten students in a graduate program were randomly selected. Their grade point averages (GPAs) when they entered the program were between 3.5 and 4.0. The following data were obtained Regarding their GPAs on entering the program versus their current GPAs.

Accepted Answer

The answer of Find the equation of the least squares...

Question 16

Graph the equation.
-5y + 2x = -15 11

Accepted Answer

The answer of Graph the equation.
-5y + 2x = -15...

Question 17

The total number of reported cases of AIDS in the United States has risen from 372 in 1981 to 100,000 in 1989 and 200,000 in 1992. Does a linear equation fit this data? Explain.

Accepted Answer

The answer of The total number of reported cases of...

Question 18

Why is the slope of a horizontal line equal to zero? Give an example.

Accepted Answer

The answer of Why is the slope of a horizontal...

Question 19

Graph the equation.
-y = -6

Accepted Answer

The answer of Graph the equation.
-y = -6  
...

Question 20

Explain what is wrong with the statement "The line has no slope.

Accepted Answer

The answer of Explain what is wrong with the statement...

Quiz 1: Linear Functions

Why is the slope of a vertical line undefined?

Find an equation in slope-intercept form (where possible) for the line. -Through $(13,5) , \mathrm{m}=-2$

Graph the equation. -y + 2 = 0

Can an equation of a vertical line be written in slope-intercept form? Explain.

Give a definition or an example of the word or phrase: Zero slope

Find the correlation coefficient. -The following are the temperatures on randomly chosen days and the amount a certain kind of plant grew (in millimeters) :

If a company decides to make a new product, there are fixed costs and variable costs associated with this new product. Explain the differences of the two types of costs and why they occur. Use an example to illustrate your point.

Find the correlation coefficient. -Consider the data points with the following coordinates:

Find the equation of the least squares line. -Ten students in a graduate program were randomly selected. Their grade point averages (GPAs) when they entered the program were between 3.5 and 4.0. The following data were obtained Regarding their GPAs on entering the program versus their current GPAs.

Graph the equation. -5y + 2x = -15 11

The total number of reported cases of AIDS in the United States has risen from 372 in 1981 to 100,000 in 1989 and 200,000 in 1992. Does a linear equation fit this data? Explain.

Why is the slope of a horizontal line equal to zero? Give an example.

Graph the equation. -y = -6

Explain what is wrong with the statement "The line has no slope.

Quiz 1: Linear Functions

Why is the slope of a vertical line undefined?

Find an equation in slope-intercept form (where possible) for the line. -Through (13,5) ,m=−2 (13,5) , \mathrm{m}=-2 (13,5) ,m=−2

Graph the equation. -y + 2 = 0

Can an equation of a vertical line be written in slope-intercept form? Explain.

Give a definition or an example of the word or phrase: Zero slope

A study was conducted to compare the average time spent in the lab each week versus course grade for computer students. The results are recorded in the table below. Use the equation of the Least squares line to predict the grade of a student who spends 5 hours in the lab.

Find the correlation coefficient. -The following are the temperatures on randomly chosen days and the amount a certain kind of plant grew (in millimeters) :

If a company decides to make a new product, there are fixed costs and variable costs associated with this new product. Explain the differences of the two types of costs and why they occur. Use an example to illustrate your point.

Find the correlation coefficient. -Consider the data points with the following coordinates:

Find the equation of the least squares line. -Ten students in a graduate program were randomly selected. Their grade point averages (GPAs) when they entered the program were between 3.5 and 4.0. The following data were obtained Regarding their GPAs on entering the program versus their current GPAs.

Graph the equation. -5y + 2x = -15 11

The total number of reported cases of AIDS in the United States has risen from 372 in 1981 to 100,000 in 1989 and 200,000 in 1992. Does a linear equation fit this data? Explain.

Why is the slope of a horizontal line equal to zero? Give an example.

Graph the equation. -y = -6

Explain what is wrong with the statement "The line has no slope.

Find an equation in slope-intercept form (where possible) for the line. -Through $(13,5) , \mathrm{m}=-2$