Question 1

Solve the problem.
-Given the supply and demand functions below, find the demand when p = $12. $$
\begin{array}{l}
S(p)=5 p \
D(p)=120-4 p
\end{array}
$$

Accepted Answer

A)  48 
B)  132 
C)  72 
D)  60 
A)  48 
B)  132 
C)  72 
D)  60

Question 2

Find the slope of the line.

Accepted Answer

A)  5 $ \tau $ 
B)  1 
C)  $ -1 $ 
D)  $ -5 $ 
A)  5 $ \tau $ 
B)  1 
C)  $ -1 $ 
D)  $ -5 $

Question 3

Find an equation in slope-intercept form (where possible) for the line.
-Through $ (5,5), \mathrm{m}=-\frac{2}{7} $

Accepted Answer

A)  $ y=-\frac{2}{7} x+\frac{45}{7} $ 
B)  $ y=-\frac{2}{7} x+\frac{10}{7} $ 
C)  $ y=\frac{2}{7} x+\frac{10}{7} $ 
D)  $ y=\frac{2}{7} x-\frac{45}{7} $ 
A)  $ y=-\frac{2}{7} x+\frac{45}{7} $ 
B)  $ y=-\frac{2}{7} x+\frac{10}{7} $ 
C)  $ y=\frac{2}{7} x+\frac{10}{7} $ 
D)  $ y=\frac{2}{7} x-\frac{45}{7} $

Question 4

Write a cost function for the problem. Assume that the relationship is linear.
-A cab company charges a base rate of $1.00 plus 10 cents per minute. Let C(x)be the cost in dollars of u

Accepted Answer

A)  $ C(x)=0.10 x+1.00 $ 
B)  $ \mathrm{C}(\mathrm{x})=0.10 \mathrm{x}-1.00 $ 
C)  $ C(x)=1.00 x-0.10 $ 
D)  $ C(x)=1.00 x+0.10 $
 sing the cab for x minutes. 
A)  $ C(x)=0.10 x+1.00 $ 
B)  $ \mathrm{C}(\mathrm{x})=0.10 \mathrm{x}-1.00 $ 
C)  $ C(x)=1.00 x-0.10 $ 
D)  $ C(x)=1.00 x+0.10 $
 sing the cab for x minutes.

Question 5

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

A)  $ 80.3 \% $ 
B)  $ 75.3 \% $ 
C)  $ 79.3 \% $ 
D)  $ 83.6 \% $ 
A)  $ 80.3 \% $ 
B)  $ 75.3 \% $ 
C)  $ 79.3 \% $ 
D)  $ 83.6 \% $

Question 6

Find the equation of the least squares line.
-Two separate tests are designed to measure a student's ability to solve problems. Several students are randomly selected to take both tests and the results are shown below.

Accepted Answer

A)  $ y=-0.930+19.4 x $ 
B)  $ y=19.4+0.930 x $ 
C)  $ y=-19.4-0.930 x $ 
D)  $ y=0.930-19.4 x $ 
A)  $ y=-0.930+19.4 x $ 
B)  $ y=19.4+0.930 x $ 
C)  $ y=-19.4-0.930 x $ 
D)  $ y=0.930-19.4 x $

Question 7

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

Accepted Answer

A)   
B)   
C)   
D)   
A)   
B)   
C)   
D)

Question 8

Find the correlation coefficient

-Consider the data points with the following coordinates:

Accepted Answer

A)  $ 0.1085 $ 
B)  $ 0.2145 $ 
C)  $ -0.0537 $ 
D)  $ -0.0783 $ 
A)  $ 0.1085 $ 
B)  $ 0.2145 $ 
C)  $ -0.0537 $ 
D)  $ -0.0783 $

Question 9

Find an equation in slope-intercept form (where possible) for the line.
-Through $ (-1,-1.5) $ and $ (3,3.5) $

Accepted Answer

A)  $ y=-1.25 x-2.75 $ 
B)  $ y=1.25 x-0.25 $ 
C)  $ y=-0.8 x-2.3 $ 
D)  $ y=0.8 x-0.7 $ 
A)  $ y=-1.25 x-2.75 $ 
B)  $ y=1.25 x-0.25 $ 
C)  $ y=-0.8 x-2.3 $ 
D)  $ y=0.8 x-0.7 $

Question 10

Evaluate the function as indicated.
-Find $ f(-r) $ when $ f(x)=7-4 x $.

Accepted Answer

A)  $ 7+r x $ 
B)  $ r-4 x $ 
C)  $ 7+4 \mathrm{r} $ 
D)  $ 7-4 \mathrm{r} $ 
A)  $ 7+r x $ 
B)  $ r-4 x $ 
C)  $ 7+4 \mathrm{r} $ 
D)  $ 7-4 \mathrm{r} $

Question 11

The paired data below consist of the test scores of 6 randomly selected students and the number of hours they studied for the test. Use the equation of the least squares line to predict the score on the Test of a student who studies 13 hours.

Accepted Answer

A) 81.2 
B) 86.2 
C) 76.2 
D) 86.8 
A) 81.2 
B) 86.2 
C) 76.2 
D) 86.8

Question 12

Find the slope of the line.A line parallel to $ 8 x=7 y+13 $

Accepted Answer

A)  $ \frac{7}{8} $ 
B)  $ \frac{8}{7} $ 
C)  $ -\frac{8}{7} $ 
D)  $ \frac{13}{8} $ 
A)  $ \frac{7}{8} $ 
B)  $ \frac{8}{7} $ 
C)  $ -\frac{8}{7} $ 
D)  $ \frac{13}{8} $

Question 13

Find an equation in slope-intercept form (where possible) for the line.
-Through $ (4,10) $, parallel to $ -4 x+3 y=-13 $

Accepted Answer

A)  $ y=\frac{3}{4} x-\frac{5}{2} $ 
B)  $ y=-\frac{4}{3} x-\frac{14}{3} $ 
C)  $ y=-\frac{4}{3} x-\frac{13}{3} $ 
D)  $ y=\frac{4}{3} x+\frac{14}{3} $ 
A)  $ y=\frac{3}{4} x-\frac{5}{2} $ 
B)  $ y=-\frac{4}{3} x-\frac{14}{3} $ 
C)  $ y=-\frac{4}{3} x-\frac{13}{3} $ 
D)  $ y=\frac{4}{3} x+\frac{14}{3} $

Question 14

In the table below, x represents the number of years since 2000 and y represents annual sales (in thousands of dollars)for a clothing company. Use the least squares regression equation to Estimate sales in the year 2006. Round to the nearest thousand dollars.

Accepted Answer

A)  $ \$ 142,000 $ 
B)  $ \$ 145,000 $ 
C)  $ \$ 140,000 $ 
D)  $ \$ 147,000 $ 
A)  $ \$ 142,000 $ 
B)  $ \$ 145,000 $ 
C)  $ \$ 140,000 $ 
D)  $ \$ 147,000 $

Question 15

Find the slope of the line passing through the given pair of points. (6, 2)and (9, 4)

Accepted Answer

A)  $ \frac{3}{2} $ 
B)  $ \frac{2}{5} $ 
C)  $ \frac{2}{3} $ 
D)  $ -\frac{2}{3} $ 
A)  $ \frac{3}{2} $ 
B)  $ \frac{2}{5} $ 
C)  $ \frac{2}{3} $ 
D)  $ -\frac{2}{3} $

Question 16

A toilet manufacturer has decided to come out with a new and improved toilet. The fixed cost for the production of this new toilet line is $16,600 and the variable costs are $69 per toilet. The Company expects to sell the toilets for $157. Formulate a function P(x)for the total profit from the Production and sale of x toilets.

Accepted Answer

A)  $ P(x)=88 x+16600 $ 
B)  $ P(x)=88 x $ 
C)  $ P(x)=88 x-16600 $ 
D)  $ P(x)=157 x-16600 $ 
A)  $ P(x)=88 x+16600 $ 
B)  $ P(x)=88 x $ 
C)  $ P(x)=88 x-16600 $ 
D)  $ P(x)=157 x-16600 $

Question 17

Find the slope of the line passing through the given pair of points.(-8, 8)and (-4, -7)

Accepted Answer

A)  $ -\frac{1}{12} $ 
B)  $ \frac{15}{4} $ 
C)  $ -\frac{15}{4} $ 
D)  $ -\frac{4}{15} $ 
A)  $ -\frac{1}{12} $ 
B)  $ \frac{15}{4} $ 
C)  $ -\frac{15}{4} $ 
D)  $ -\frac{4}{15} $

Question 18

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

A)  $ -0.0953 $ 
B)  $ 0.0396 $ 
C)  $ -0.3105 $ 
D)  0 
A)  $ -0.0953 $ 
B)  $ 0.0396 $ 
C)  $ -0.3105 $ 
D)  0

Question 19

Write a cost function for the problem. Assume that the relationship is linear.
-Marginal cost, $130; 80 items cost $11,500 to produce

Accepted Answer

A)  $ C(x)=14 x+1100 $ 
B)  $ C(x)=14 x+11,500 $ 
C)  $ C(x)=130 x+11,500 $ 
D)  $ C(x)=130 x+1100 $ 
A)  $ C(x)=14 x+1100 $ 
B)  $ C(x)=14 x+11,500 $ 
C)  $ C(x)=130 x+11,500 $ 
D)  $ C(x)=130 x+1100 $

Question 20

The following data show the list price, x, in thousands of dollars, and the dealer invoice price, y, also in thousands of dollars, for a variety of sport utility vehicles. Find a linear equation that Approximates the data, using the points (16.5, 16.1)and (20.0, 18.3).

Accepted Answer

A)  $ y=1.59 x-10.2 $ 
B)  $ y=0.629 x+5.73 $ 
C)  $ y=0.629 x+6.38 $ 
D)  $ y=1.59 x-9.11 $ 
A)  $ y=1.59 x-10.2 $ 
B)  $ y=0.629 x+5.73 $ 
C)  $ y=0.629 x+6.38 $ 
D)  $ y=1.59 x-9.11 $

Solve the problem. -Given the supply and demand functions below, find the demand when p = $12. S(p)=5p D(p)=120-4p

Find the slope of the line.

Find an equation in slope-intercept form (where possible) for the line. -Through $(5,5), \mathrm{m}=-\frac{2}{7}$

Write a cost function for the problem. Assume that the relationship is linear. -A cab company charges a base rate of $1.00 plus 10 cents per minute. Let C(x)be the cost in dollars of u

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 equation of the least squares line. -Two separate tests are designed to measure a student's ability to solve problems. Several students are randomly selected to take both tests and the results are shown below.

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

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

Find an equation in slope-intercept form (where possible) for the line. -Through $(-1,-1.5)$ and $(3,3.5)$

Evaluate the function as indicated. -Find $f(-r)$ when $f(x)=7-4 x$ .

The paired data below consist of the test scores of 6 randomly selected students and the number of hours they studied for the test. Use the equation of the least squares line to predict the score on the Test of a student who studies 13 hours.

Find the slope of the line.A line parallel to $8 x=7 y+13$

Find an equation in slope-intercept form (where possible) for the line. -Through $(4,10)$ , parallel to $-4 x+3 y=-13$

In the table below, x represents the number of years since 2000 and y represents annual sales (in thousands of dollars)for a clothing company. Use the least squares regression equation to Estimate sales in the year 2006. Round to the nearest thousand dollars.

Find the slope of the line passing through the given pair of points. (6, 2)and (9, 4)

Find the slope of the line passing through the given pair of points.(-8, 8)and (-4, -7)

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

Write a cost function for the problem. Assume that the relationship is linear. -Marginal cost, $130; 80 items cost $11,500 to produce

The following data show the list price, x, in thousands of dollars, and the dealer invoice price, y, also in thousands of dollars, for a variety of sport utility vehicles. Find a linear equation that Approximates the data, using the points (16.5, 16.1)and (20.0, 18.3).

Systems of Linear Equations and Matrices

Filters

Exam 1: Linear Functions

Solve the problem. -Given the supply and demand functions below, find the demand when p = $12. S(p)=5p D(p)=120-4p

Find the slope of the line.

Find an equation in slope-intercept form (where possible) for the line. -Through (5,5),m=−27 (5,5), \mathrm{m}=-\frac{2}{7} (5,5),m=−72​

Write a cost function for the problem. Assume that the relationship is linear. -A cab company charges a base rate of $1.00 plus 10 cents per minute. Let C(x)be the cost in dollars of u

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 equation of the least squares line. -Two separate tests are designed to measure a student's ability to solve problems. Several students are randomly selected to take both tests and the results are shown below.

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

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

Find an equation in slope-intercept form (where possible) for the line. -Through (−1,−1.5) (-1,-1.5) (−1,−1.5) and (3,3.5) (3,3.5) (3,3.5)

Evaluate the function as indicated. -Find f(−r) f(-r) f(−r) when f(x)=7−4x f(x)=7-4 x f(x)=7−4x .

The paired data below consist of the test scores of 6 randomly selected students and the number of hours they studied for the test. Use the equation of the least squares line to predict the score on the Test of a student who studies 13 hours.

Find the slope of the line.A line parallel to 8x=7y+13 8 x=7 y+13 8x=7y+13

Find an equation in slope-intercept form (where possible) for the line. -Through (4,10) (4,10) (4,10) , parallel to −4x+3y=−13 -4 x+3 y=-13 −4x+3y=−13

In the table below, x represents the number of years since 2000 and y represents annual sales (in thousands of dollars)for a clothing company. Use the least squares regression equation to Estimate sales in the year 2006. Round to the nearest thousand dollars.

Find the slope of the line passing through the given pair of points. (6, 2)and (9, 4)

Find the slope of the line passing through the given pair of points.(-8, 8)and (-4, -7)

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

Write a cost function for the problem. Assume that the relationship is linear. -Marginal cost, $130; 80 items cost $11,500 to produce

The following data show the list price, x, in thousands of dollars, and the dealer invoice price, y, also in thousands of dollars, for a variety of sport utility vehicles. Find a linear equation that Approximates the data, using the points (16.5, 16.1)and (20.0, 18.3).

Systems of Linear Equations and Matrices

Filters

Find an equation in slope-intercept form (where possible) for the line. -Through $(5,5), \mathrm{m}=-\frac{2}{7}$

Find an equation in slope-intercept form (where possible) for the line. -Through $(-1,-1.5)$ and $(3,3.5)$

Evaluate the function as indicated. -Find $f(-r)$ when $f(x)=7-4 x$ .

Find the slope of the line.A line parallel to $8 x=7 y+13$

Find an equation in slope-intercept form (where possible) for the line. -Through $(4,10)$ , parallel to $-4 x+3 y=-13$