Question 1

Graph the equation.4x - 16y = 0

Accepted Answer

A)  
B) 
 
C)  
D)

Question 2

Solve the problem.
-A meteorologist in the Upper Peninsula of Michigan predicts an overnight low of -9° Fahrenheit. What would a Canadian meteorologist predict for the same location in Celsius?

Accepted Answer

A) -9° 
B) -5° 
C) -41° 
D) -22.8°

Question 3

If an object is dropped from a tower, then the velocity, V (in feet per second), of the object after t seconds can be obtained by multiplying t by 32 and adding 10 to the result. Write an equation Expressing the velocity, V, in terms of the number of seconds, t. Use this function to predict the Velocity of the object at time t = 7.7 seconds.

Accepted Answer

A) 257.7 feet per second 
B) 255.4 feet per second 
C) 256.4 feet per second 
D) 254.4 feet per second

Question 4

Graph the equation. x - 1 = 0

Accepted Answer

A)  
B)  
C)  
D)

Question 5

Find an equation in slope-intercept form (where possible) for the line.
-Through $ (-5,10) $ and $ (-5,-7) $

Accepted Answer

A)  $ x=-5 $ 
B)  $ \frac{7}{10} x+10 y=0 $ 
C)  $ \frac{10}{7} x-7 y=0 $ 
D)  $ y=10 $

Question 6

Solve the problem.
-For some reason the quality of production decreases as the year progresses at a light bulb manufacturing plant. The following data represent the percentage of defective light bulbs Produced at a light bulb manufacturing plant in the corresponding month of the year.  Use the equation of the least squares line to predict the percentage of defective bulbs in June.

Accepted Answer

A) 2.0% 
B) 2.3% 
C) 2.20% 
D) 2.15%

Question 7

Find the equation of the least squares line.
-Managers rate employees according to job performance and attitude. The results for several randomly selected employees are given below.

Accepted Answer

A)  $ y=92.3-0.669 x $ 
B)  $ y=-47.3+2.02 x $ 
C)  $ y=2.81+1.35 x $ 
D)  $ y=11.7+1.02 x $

Question 8

Solve the problem.
-A car rental company charges $33 per day to rent a particular type of car and $0.15 per mile. Juan is charged $56.70 for a one-day rental. How many miles did he drive?

Accepted Answer

A) 173 mi 
B) 158 mi 
C) 345 mi 
D) 378 mi

Question 9

Find an equation in slope-intercept form (where possible) for the line.
-In the table below, x represents the number of years since 2000 and y represents the population thousands)of the town Boomville.

Accepted Answer

A)  $ y=12 x+20 $ 
B)  $ y=28 x-10 $ 
C)  $ y=18 x+8 $ 
D)  $ y=25 x-5 $

Question 10

Find an equation in slope-intercept form (where possible) for the line.
-In a lab experiment 3 grams of acid were produced in 13 minutes and 10 grams in 39 minutes. Let y be the grams produced in x minutes. Write a linear equation for grams produced.

Accepted Answer

A)  $ y=-\frac{7}{26} x+\frac{1}{2} $ 
B)  $ y=\frac{26}{7} x+\frac{1}{2} $ 
C)  $ y=\frac{7}{26} x+\frac{1}{2} $ 
D)  $ y=\frac{7}{26} x-\frac{1}{2} $

Question 11

The information in the chart below gives the salary of a person for the stated years. Model the data with a linear function using the points (1, 24,100)and (3, 26,300). Then use this function to predict The salary for the year 2005.

Accepted Answer

A)  $ \$ 40,000 $ 
B)  $ \$ 39,980 $ 
C)  $ \$ 40,040 $ 
D)  $ \$ 40,020 $

Question 12

Evaluate the function as indicated.
-Find $ f(-7.4) $ when $ f(x)=7.2 x+7 $.

Accepted Answer

A)  $ -60.28 $ 
B)  $ -52.58 $ 
C)  $ 60.28 $ 
D)  $ -46.28 $

Question 13

Solve the problem.
-On a summer day, the bottom water of a lake is at a temperature of 6° Celsius. What is this temperature in Fahrenheit?

Accepted Answer

A) 42.8° 
B) 6° 
C) 38° 
D) 10.8°

Question 14

.
-Find the slope of the linex = 10

Accepted Answer

A) 0 
B) 10 
C) 1 
D) Not defined

Question 15

Suppose that the demand and price for a certain model of graphing calculator are related by $ p=D(q)=96-1.5 q $, where $ p $ is the price (in dollars) and $ q $ is the demand (in hundreds). Find the price if the demand is 600 calculators.

Accepted Answer

A)  $ \$ 105.00 $ 
B)  $ \$ 87.00 $ 
C)  $ \$ 6.00 $ 
D)  $ \$ 186.00 $

Question 16

Provide an appropriate response.
-Find $ \mathrm{k} $ so that the line through $ (3, \mathrm{k}) $ and $ (1,-2) $ is parallel to $ 2 \mathrm{x}-5 \mathrm{y}=-8 $. Find $ \mathrm{k} $ so that the line is perpendicular to $ 3 x+4 y=-9 $.

Accepted Answer

A)  $ -\frac{6}{5} ;-\frac{14}{3} $ 
B)  $ \frac{14}{5} ; \frac{2}{3} $ 
C)  $ -\frac{6}{5} ; \frac{2}{3} $ 
D)  $ \frac{14}{5} ;-\frac{14}{3} $

Question 17

Solve the problem.
-Let the demand and supply functions be represented by D(p)and S(p), where p is the price in dollars. Find the equilibrium price and equilibrium quantity for the given functions. 
$
\begin{array}{l}
D(p)=5520-90 p \
S(p)=140 p
\end{array}
$

Accepted Answer

A)  $ \$ 50 ; 3360 $ 
B)  $ \$ 50 ; 1020 $ 
C)  $ \$ 39: 2010 $ 
D)  $ \$ 24 ; 3360 $

Question 18

Solve the problem.
-The mathematical model C = 400x + 30,000 represents the cost in dollars a company has in manufacturing x items during a month. Based on this, how much does it cost to produce 400 items?

Accepted Answer

A) $75.00 
B) $0.19 
C) $160,000 
D) $190,000

Question 19

Find the equation of the least squares line.
-A shoe company will make a new type of shoe. The fixed cost for the production will be $24,000. The variable cost will be $34 per pair of shoes. The shoes will sell for $110 for each pair. What is The profit if 600 pairs are sold?

Accepted Answer

A) $21,600 
B) $69,600 
C) $62,400 
D) $45,600

Question 20

Find the slope of the line passing through the given pair of points.
-$ (19,-4) $ and $ (-3,14) $

Accepted Answer

A)  $ -\frac{11}{9} $ 
B)  $ \frac{5}{8} $ 
C)  $ \frac{9}{11} $ 
D)  $ -\frac{9}{11} $

Exam 1: Linear Functions

Graph the equation.4x - 16y = 0

Solve the problem. -A meteorologist in the Upper Peninsula of Michigan predicts an overnight low of -9° Fahrenheit. What would a Canadian meteorologist predict for the same location in Celsius?

Graph the equation. x - 1 = 0

Find an equation in slope-intercept form (where possible) for the line. -Through $(-5,10)$ and $(-5,-7)$

Find the equation of the least squares line. -Managers rate employees according to job performance and attitude. The results for several randomly selected employees are given below.

Solve the problem. -A car rental company charges $33 per day to rent a particular type of car and $0.15 per mile. Juan is charged $56.70 for a one-day rental. How many miles did he drive?

Find an equation in slope-intercept form (where possible) for the line. -In the table below, x represents the number of years since 2000 and y represents the population thousands) of the town Boomville.

Find an equation in slope-intercept form (where possible) for the line. -In a lab experiment 3 grams of acid were produced in 13 minutes and 10 grams in 39 minutes. Let y be the grams produced in x minutes. Write a linear equation for grams produced.

Evaluate the function as indicated. -Find $f(-7.4)$ when $f(x) =7.2 x+7$ .

Solve the problem. -On a summer day, the bottom water of a lake is at a temperature of 6° Celsius. What is this temperature in Fahrenheit?

. -Find the slope of the linex = 10

Suppose that the demand and price for a certain model of graphing calculator are related by $p=D(q) =96-1.5 q$ , where $p$ is the price (in dollars) and $q$ is the demand (in hundreds) . Find the price if the demand is 600 calculators.

Provide an appropriate response. -Find $\mathrm{k}$ so that the line through $(3, \mathrm{k})$ and $(1,-2)$ is parallel to $2 \mathrm{x}-5 \mathrm{y}=-8$ . Find $\mathrm{k}$ so that the line is perpendicular to $3 x+4 y=-9$ .

Solve the problem. -Let the demand and supply functions be represented by D(p) and S(p) , where p is the price in dollars. Find the equilibrium price and equilibrium quantity for the given functions. $\begin{array}{l}D(p) =5520-90 p \\S(p) =140 p\end{array}$

Solve the problem. -The mathematical model C = 400x + 30,000 represents the cost in dollars a company has in manufacturing x items during a month. Based on this, how much does it cost to produce 400 items?

Find the equation of the least squares line. -A shoe company will make a new type of shoe. The fixed cost for the production will be $24,000. The variable cost will be $34 per pair of shoes. The shoes will sell for $110 for each pair. What is The profit if 600 pairs are sold?

Find the slope of the line passing through the given pair of points. - $(19,-4)$ and $(-3,14)$

Exam 1: Linear Functions

Graph the equation.4x - 16y = 0

Solve the problem. -A meteorologist in the Upper Peninsula of Michigan predicts an overnight low of -9° Fahrenheit. What would a Canadian meteorologist predict for the same location in Celsius?

Graph the equation. x - 1 = 0

Find an equation in slope-intercept form (where possible) for the line. -Through (−5,10) (-5,10) (−5,10) and (−5,−7) (-5,-7) (−5,−7)

Find the equation of the least squares line. -Managers rate employees according to job performance and attitude. The results for several randomly selected employees are given below.

Solve the problem. -A car rental company charges $33 per day to rent a particular type of car and $0.15 per mile. Juan is charged $56.70 for a one-day rental. How many miles did he drive?

Find an equation in slope-intercept form (where possible) for the line. -In the table below, x represents the number of years since 2000 and y represents the population thousands) of the town Boomville.

Find an equation in slope-intercept form (where possible) for the line. -In a lab experiment 3 grams of acid were produced in 13 minutes and 10 grams in 39 minutes. Let y be the grams produced in x minutes. Write a linear equation for grams produced.

The information in the chart below gives the salary of a person for the stated years. Model the data with a linear function using the points (1, 24,100) and (3, 26,300) . Then use this function to predict The salary for the year 2005.

Evaluate the function as indicated. -Find f(−7.4) f(-7.4) f(−7.4) when f(x) =7.2x+7 f(x) =7.2 x+7 f(x) =7.2x+7 .

Solve the problem. -On a summer day, the bottom water of a lake is at a temperature of 6° Celsius. What is this temperature in Fahrenheit?

. -Find the slope of the linex = 10

Suppose that the demand and price for a certain model of graphing calculator are related by p=D(q) =96−1.5q p=D(q) =96-1.5 q p=D(q) =96−1.5q , where p p p is the price (in dollars) and q q q is the demand (in hundreds) . Find the price if the demand is 600 calculators.

Provide an appropriate response. -Find k \mathrm{k} k so that the line through (3,k) (3, \mathrm{k}) (3,k) and (1,−2) (1,-2) (1,−2) is parallel to 2x−5y=−8 2 \mathrm{x}-5 \mathrm{y}=-8 2x−5y=−8 . Find k \mathrm{k} k so that the line is perpendicular to 3x+4y=−9 3 x+4 y=-9 3x+4y=−9 .

Solve the problem. -The mathematical model C = 400x + 30,000 represents the cost in dollars a company has in manufacturing x items during a month. Based on this, how much does it cost to produce 400 items?

Find the equation of the least squares line. -A shoe company will make a new type of shoe. The fixed cost for the production will be $24,000. The variable cost will be $34 per pair of shoes. The shoes will sell for $110 for each pair. What is The profit if 600 pairs are sold?

Find the slope of the line passing through the given pair of points. - (19,−4) (19,-4) (19,−4) and (−3,14) (-3,14) (−3,14)

Find an equation in slope-intercept form (where possible) for the line. -Through $(-5,10)$ and $(-5,-7)$

Evaluate the function as indicated. -Find $f(-7.4)$ when $f(x) =7.2 x+7$ .

Suppose that the demand and price for a certain model of graphing calculator are related by $p=D(q) =96-1.5 q$ , where $p$ is the price (in dollars) and $q$ is the demand (in hundreds) . Find the price if the demand is 600 calculators.

Provide an appropriate response. -Find $\mathrm{k}$ so that the line through $(3, \mathrm{k})$ and $(1,-2)$ is parallel to $2 \mathrm{x}-5 \mathrm{y}=-8$ . Find $\mathrm{k}$ so that the line is perpendicular to $3 x+4 y=-9$ .

Find the slope of the line passing through the given pair of points. - $(19,-4)$ and $(-3,14)$