Question 1

Through (5, -4)and (-3, 3)127)

Accepted Answer

A)  $ y=-\frac{7}{8} x+\frac{3}{8} $ 
B)  $ y=-\frac{3}{2} x-\frac{3}{2} $ 
C)  $ y=\frac{3}{2} x-\frac{3}{2} $ 
D)  $ y=\frac{7}{8} x+\frac{3}{8} $

Question 2

Solve the problem.
-Midtown Delivery Service delivers packages which cost $1.10 per package to deliver. The fixed cost to run the delivery truck is $60 per day. If the company charges $7.10 per package, how many Packages must be delivered daily to break even?

Accepted Answer

A) 54 packages 
B) 7 packages 
C) 10 packages 
D) 6 packages

Question 3

Find the equation of the least squares line.

-The paired data below consist of the costs of advertising (in thousands of dollars)and the number of products sold (in thousands).

Accepted Answer

A)  $ y=55.8+2.79 x $ 
B)  $ y=55.8-2.79 x $ 
C)  $ y=26.4+1.42 x $ 
D)  $ y=-26.4-1.42 x $

Question 4

Find an equation in slope-intercept form (where possible) for the line. Through $ (5,5), \mathrm{m}=-\frac{5}{6} $

Accepted Answer

A)  $ y=\frac{5}{6} x+\frac{25}{6} $ 
B)  $ y=\frac{5}{6} x-\frac{55}{6} $ 
C)  $ y=-\frac{5}{6} x+\frac{55}{6} $ 
D)  $ y=-\frac{5}{6} x+\frac{25}{6} $

Question 5

Evaluate the function as indicated.
-Find f(9)when f(x)= -3x + 1

Accepted Answer

A) -26.9 
B) 28 
C) -28 
D) -26

Question 6

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

A)  584 
B)  404 
C)  449 
D)  314

Question 7

Find the equation of the least squares line.
-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.

Accepted Answer

A)  $ y=88.6-1.86 x $ 
B)  $ y=0.930+44.3 x $ 
C)  $ y=1.86+88.6 x $ 
D)  $ y=44.3+0.930 x $

Question 8

Write a cost function for the problem. Assume that the relationship is linear.
-Fixed cost, $280; 10 items cost $5780 to produce

Accepted Answer

A)  $ C(x)=1100 x+280 $ 
B)  $ C(x)=550 x+5780 $ 
C)  $ C(x)=550 x+280 $ 
D)  $ C(x)=1100 x+5780 $

Question 9

Regrind, Inc. regrinds used typewriter platens. The cost per platen is $2.20. The fixed cost to run the grinding machine is $78 per day. If the company sells the reground platens for $4.20, how many Must be reground daily to break even?

Accepted Answer

A) 12 platens 
B) 26 platens 
C) 39 platens 
D) 35 platens

Question 10

Find an equation in slope-intercept form (where possible) for the line.
-Through (-4, -1), m = -1.5

Accepted Answer

A) y = 1.5x - 7 
B) y = -1.5x + 5 
C) y = 1.5x + 5 
D) y = -1.5x - 7

Question 11

Evaluate the function as indicated.
-Find f(5.2)when f(x)= 7

Accepted Answer

A) 5.2 
B) 36.4 
C) 7 
D) -7

Question 12

Find the slope of the line.
-A line perpendicular to $ 9 x+4 y=50 $

Accepted Answer

A)  $ \frac{9}{4} $ 
B)  $ -\frac{4}{9} $ 
C)  $ \frac{4}{9} $ 
D)  9

Question 13

Find an equation in slope-intercept form (where possible) for the line.
-Through $ (7,-9) $, with undefined slope

Accepted Answer

A)  $ \frac{9}{7} x+7 y=0 $ 
B)  $ x=7 $ 
C)  $ \frac{7}{9} x-9 y=0 $ 
D)  $ y=-9 $

Question 14

Find an equation in slope-intercept form (where possible) for the line.
-$ y $-intercept $ -1, x $-intercept 2

Accepted Answer

A)  $ y=-2 x+2 $ 
B)  $ y=2 x+2 $ 
C)  $ y=\frac{1}{2} x-1 $ 
D)  $ y=-\frac{1}{2} x-1 $

Question 15

Evaluate the function as indicated.
-Through $ (-9,-1) $ and $ (3,-1) $

Accepted Answer

A)  $ \frac{1}{3} x-9 y=0 $ 
B)  $ x=-9 $ 
C)  $ 3 x+3 y=0 $ 
D)  $ y=-1 $

Question 16

Find the slope of the line.
-A line parallel to $ -2 y+5 x=7 $

Accepted Answer

A)  $ \frac{2}{5} $ 
B)  $ \frac{5}{2} $ 
C)  $ \frac{7}{5} $ 
D)  $ -\frac{5}{2} $

Question 17

Find the slope of the line.
-A line perpendicular to 6x = 4y + 8

Accepted Answer

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

Question 18

Solve the problem.
-In deciding whether or not to set up a new manufacturing plant, analysts for a popcorn company have decided that a linear function is a reasonable estimation for the total cost C(x)in dollars to Produce x bags of microwave popcorn. They estimate the cost to produce 10,000 bags as $5240 and The cost to produce 15,000 bags as $7540. Find the marginal cost of the bags of microwave popcorn To be produced in this plant.

Accepted Answer

A) $46.00 
B) $4.60 
C) $0.46 
D) $2300.00

Question 19

Find the correlation coefficient.
-Let the supply and demand functions for raspberry-flavored licorice be given by 
$
p=S(q)=\frac{5}{4} q \quad \text { and } p=D(q)=90-\frac{5}{4} q \text {, }
$

where $ \mathrm{p} $ is the price in dollars and $ \mathrm{q} $ is the number of batches. Graph these functions on the same axes (graph the supply function as a dashed line and the demand function as a solid line). Also, find the equilibrium quantity and the equilibrium price.

Accepted Answer

A)  
B)  
C)  
D)

Question 20

Suppose the sales of a particular brand of appliance satisfy the relationship S = 190x + 1200, where S represents the number of sales in year x, with x = 0 corresponding to 1982. Find the number of Sales in 1994.

Accepted Answer

A) 3290 sales 
B) 6960 sales 
C) 6770 sales 
D) 3480 sales

Exam 1: Linear Functions

Through (5, -4) and (-3, 3) 127)

Solve the problem. -Midtown Delivery Service delivers packages which cost $1.10 per package to deliver. The fixed cost to run the delivery truck is $60 per day. If the company charges $7.10 per package, how many Packages must be delivered daily to break even?

Find the equation of the least squares line. -The paired data below consist of the costs of advertising (in thousands of dollars) and the number of products sold (in thousands) .

Find an equation in slope-intercept form (where possible) for the line. Through $(5,5) , \mathrm{m}=-\frac{5}{6}$

Evaluate the function as indicated. -Find f(9) when f(x) = -3x + 1

Find the equation of the least squares line. -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.

Write a cost function for the problem. Assume that the relationship is linear. -Fixed cost, $280; 10 items cost $5780 to produce

Regrind, Inc. regrinds used typewriter platens. The cost per platen is $2.20. The fixed cost to run the grinding machine is $78 per day. If the company sells the reground platens for $4.20, how many Must be reground daily to break even?

Find an equation in slope-intercept form (where possible) for the line. -Through (-4, -1) , m = -1.5

Evaluate the function as indicated. -Find f(5.2) when f(x) = 7

Find the slope of the line. -A line perpendicular to $9 x+4 y=50$

Find an equation in slope-intercept form (where possible) for the line. -Through $(7,-9)$ , with undefined slope

Find an equation in slope-intercept form (where possible) for the line. - $y$ -intercept $-1, x$ -intercept 2

Evaluate the function as indicated. -Through $(-9,-1)$ and $(3,-1)$

Find the slope of the line. -A line parallel to $-2 y+5 x=7$

Find the slope of the line. -A line perpendicular to 6x = 4y + 8

Suppose the sales of a particular brand of appliance satisfy the relationship S = 190x + 1200, where S represents the number of sales in year x, with x = 0 corresponding to 1982. Find the number of Sales in 1994.

Exam 1: Linear Functions

Through (5, -4) and (-3, 3) 127)

Solve the problem. -Midtown Delivery Service delivers packages which cost $1.10 per package to deliver. The fixed cost to run the delivery truck is $60 per day. If the company charges $7.10 per package, how many Packages must be delivered daily to break even?

Find the equation of the least squares line. -The paired data below consist of the costs of advertising (in thousands of dollars) and the number of products sold (in thousands) .

Find an equation in slope-intercept form (where possible) for the line. Through (5,5) ,m=−56 (5,5) , \mathrm{m}=-\frac{5}{6} (5,5) ,m=−65​

Evaluate the function as indicated. -Find f(9) when f(x) = -3x + 1

Find the equation of the least squares line. -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.

Write a cost function for the problem. Assume that the relationship is linear. -Fixed cost, $280; 10 items cost $5780 to produce

Regrind, Inc. regrinds used typewriter platens. The cost per platen is $2.20. The fixed cost to run the grinding machine is $78 per day. If the company sells the reground platens for $4.20, how many Must be reground daily to break even?

Find an equation in slope-intercept form (where possible) for the line. -Through (-4, -1) , m = -1.5

Evaluate the function as indicated. -Find f(5.2) when f(x) = 7

Find the slope of the line. -A line perpendicular to 9x+4y=50 9 x+4 y=50 9x+4y=50

Find an equation in slope-intercept form (where possible) for the line. -Through (7,−9) (7,-9) (7,−9) , with undefined slope

Find an equation in slope-intercept form (where possible) for the line. - y y y -intercept −1,x -1, x −1,x -intercept 2

Evaluate the function as indicated. -Through (−9,−1) (-9,-1) (−9,−1) and (3,−1) (3,-1) (3,−1)

Find the slope of the line. -A line parallel to −2y+5x=7 -2 y+5 x=7 −2y+5x=7

Find the slope of the line. -A line perpendicular to 6x = 4y + 8

Suppose the sales of a particular brand of appliance satisfy the relationship S = 190x + 1200, where S represents the number of sales in year x, with x = 0 corresponding to 1982. Find the number of Sales in 1994.

Find an equation in slope-intercept form (where possible) for the line. Through $(5,5) , \mathrm{m}=-\frac{5}{6}$

Find the slope of the line. -A line perpendicular to $9 x+4 y=50$

Find an equation in slope-intercept form (where possible) for the line. -Through $(7,-9)$ , with undefined slope

Find an equation in slope-intercept form (where possible) for the line. - $y$ -intercept $-1, x$ -intercept 2

Evaluate the function as indicated. -Through $(-9,-1)$ and $(3,-1)$

Find the slope of the line. -A line parallel to $-2 y+5 x=7$