Chapter 1 3 A car rental company charges $24 per day to rent a particular

Find the slope of the line.

126)

A)

–1

B)

–4

C)

1

D)

4

Solve the problem.

127)

A car rental company charges $24 per day to rent a particular type of car and $0.15 per mile. Juan is

charged $43.80 for a one–day rental. How many miles did he drive?

127)

A)

147 mi

B)

268 mi

C)

132 mi

D)

292 mi

Find an equation in slope–intercept form (where possible) for the line.

128)

Through (2, 5), m = 0

128)

A)

y =5

B)

y = – 5

2x

C)

y = – 2

5x

D)

x =2

Solve the problem.

129)

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.

D(p) =117,250 – 240p

S(p) =430p

129)

A)

$190; 75,250

B)

$175; 75,250

C)

$190; 71,650

D)

$272; 51,970

130)

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 $67 per toilet. The

company expects to sell the toilets for $159. Formulate a function C(x) for the total cost of

producing x new toilets and a function R(x) for the total revenue generated from the sales of x

toilets.

130)

A)

C(x) = 16600 +67x; R(x) =159x

B)

C(x) = 16600 +159x; R(x) =67x

C)

C(x) =16,667; R(x) =159

D)

C(x) =67x; R(x) =159x

Graph the equation.

131)

y – 5 = 0

131)

42

A)

B)

C)

D)

Find the slope of the line passing through the given pair of points.

132)

(4, 6) and (8, 7)

132)

A)

4

B)

–1

4

C)

13

12

D)

1

4

D

Graph the equation.

43

A

133)

3x – 15y =0

133)

A)

B)

C)

D)

Write a cost function for the problem. Assume that the relationship is linear.

134)

An electrician charges a fee of $50 plus $35 per hour. Let C(x) be the cost in dollars of using the

electrician for x hours.

134)

A)

C(x) =35x – 50

B)

C(x) =50x – 35

C)

C(x) =50x + 35

D)

C(x) =35x + 50

Find the equation of the least squares line.

135)

The paired data below consist of the test scores of 6 randomly selected students and the number of

hours they studied for the test.

Hours (x) 5 10 4 6 10 9

Score (y) 64 86 69 86 59 87

135)

A)

y = 33.7 + 2.14x

B)

y = 67.3 + 1.07x

C)

y = – 67.3 + 1.07x

D)

y = 33.7 – 2.14x

Find the slope of the line.

136)

A)

undefined

B)

3

2

C)

3

D)

0

Write a cost function for the problem. Assume that the relationship is linear.

137)

A moving firm charges a flat fee of $45 plus $40 per hour. Let C(x) be the cost in dollars of using the

moving firm for x hours.

137)

A)

C(x) =45x + 40

B)

C(x) =40x – 45

C)

C(x) =45x – 40

D)

C(x) =40x + 45

Graph the equation.

138)

5y – 3x =35

138)

A)

B)

46

C)

D)

Solve the problem.

139)

Regrind, Inc. regrinds used typewriter platens. The cost per platen is $1.30. The fixed cost to run the

grinding machine is $252 per day. If the company sells the reground platens for $5.30, how many

must be reground daily to break even?

139)

A)

63 platens

B)

193 platens

C)

42 platens

D)

38 platens

D)

140)

Suppose the sales of a particular brand of appliance satisfy the relationship S =170x + 5900, where

S represents the number of sales in year x, with x = 0 corresponding to 1982. Find the number of

sales in

1990.

140)

A)

14,520 sales

B)

7260 sales

C)

14,350 sales

D)

7090 sales

D)

Find the slope of the line.

141)

3x – 5y = – 40

141)

A)

3

5

B)

–5

3

C)

–3

5

D)

8

D)

Evaluate the function as indicated.

142)

Find f(–2.3) when f(x) =12.

142)

A)

–12

B)

–27.6

C)

12

D)

–2.3

D)

Solve the problem.

143)

The bank’s temperature display shows that it is 36° Celsius. What is the temperature in Fahrenheit?

143)

A)

2.2°

B)

96.8°

C)

37.8°

D)

122.4°

D)

144)

A lumber yard has fixed costs of $2682.80 a day and variable costs of $1.00 per board–foot

produced. The company gets $2.90 per board–foot sold. How many board–feet must be produced

daily to break even?

144)

A)

1412 board–feet

B)

687 board–feet

C)

941 board–feet

D)

2682 board–feet

D)

Find the equation of the least squares line.

145)

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.

Test A (x) 48 52 58 44 43 43 40 51 59

Test B (y) 73 67 73 59 58 56 58 64 74

145)

A)

y = – 19.4 – 0.930x

B)

y = – 0.930 + 19.4x

C)

y = 19.4 + 0.930x

D)

y = 0.930 – 19.4x

D)

Solve the problem.

146)

Midtown Delivery Service delivers packages which cost $1.70 per package to deliver. The fixed cost

to run the delivery truck is $84 per day. If the company charges $7.70 per package, how many

packages must be delivered daily to break even?

146)

A)

14 packages

B)

8 packages

C)

49 packages

D)

9 packages

Find the slope of the line.

147)

A)

1

2

B)

2

C)

–1

2

D)

–2

148)

A line perpendicular to 6x =9y – 5

148)

A)

–2

3

B)

–5

9

C)

–3

2

D)

3

2

Find an equation in slope–intercept form (where possible) for the line.

149)

Through (0, 3), m =1

2

149)

A)

y =1

2x – 3

B)

y = – 1

2x + 3

C)

y =1

2x + 3

D)

y = – 1

2x – 3

Solve the problem.

150)

Let the supply and demand functions for raspberry–flavored licorice be given by

p = S(q) =5

4qand p = D(q) =60 –5

4q ,

where p is the price in dollars and 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.

150)

A)

Equilibrium quantity: 30.00

Equilibrium price: $24

B)

Equilibrium quantity: 24

Equilibrium price: $30.00

50

C)

Equilibrium quantity: 37.50

Equilibrium price: $30

D)

Equilibrium quantity: 30

Equilibrium price: $37.50

151)

The outdoor temperature rises to 13° Fahrenheit. What is this temperature in Celsius?

151)

A)

–19°

B)

13°

C)

7.2°

D)

–10.6°

Graph the equation.

152)

3y + 8x =15

152)

51