Topic Test Answers

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21
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A photographer charges a sitting fee of $15, and charges $4 for each 5-in. by 7 in.photograph the customer orders. The linear function can be used to calculate the customer’s cost (c) based on the number of photographs (n) purchased. How many photographs can be purchased if you cannot spend more than $50.00?

Question illustration
A
No more than 7 photographs
B
No more than 3 photographs
C
No more than 8 photographs
D
No more than 9 photographs
22
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Determine which of the following terms is a function:

A
(1,2) (2,4) (3,5)
B
(1,2) (2,3) (1,5)
C
(1,2) (2,4) (2,6)
D
(1,2) (3,5) (3,7)
23

Solve the equation. Then check your solution. a. –16 c. b. d. 16 Please select the best answer from the choices provided

Question illustration
A
A
B
B
C
C
D
D
24

The weights and heights of six mathematics students are given in the following table: Weight (in pounds) Height (in centimeters) 165 172 123 157 212 183 175 178 165 163 147 167 State whether weight is a function of height for the six students and explain.

A
Yes, height is a function of weight because two students weigh 165 pounds but have different heights.
B
No, height is not a function of weight because two students weigh 165 pounds but have different heights.
C
Yes, weight is a function of height because for each value of height there is one corresponding value of weight.
D
No, weight is not a function of height because there is not enough data to determine a function.
26

What is a variable?

A
A variable is an unknown number or value represented by a letter
B
A variable always represents the total amount
C
A variable represents a change in value
D
A variable is always represented by the letter x
27

You drive to visit your parents, who live 100 miles away. Your average speed is 50 miles per hour. On arrival, you stay for five hours and then return home, again at an average speed of 50 miles per hour. Which graph depicts your distance from home from the time you leave until you return?

Question illustration
A
Graph A
B
Graph B
C
Graph C
D
Graph D
28

Profit is always calculated as revenue minus expenses. If a company’s expenses were $10 million, write an equation that expresses profit, P, (in millions of dollars) in terms of revenue, R, (in millions of dollars). Then, determine the profit when revenue is $25 million.

Question illustration
A
; $15 million
B
; $15 million
C
; $35 million
D
; $35 million
29

Solve the equation. Then check your solution. a. 24 c. b. d. Please select the best answer from the choices provided

Question illustration
A
A
B
B
C
C
D
D
31

Suppose you have a $15 coupon that can be used on any purchase over $100 at your favorite clothing store. The discounted price of a sports jacket is $203. What is the retail price of the jacket?

A
$235.70
B
$303.00
C
$188.00
D
$218.00
32

Medical researchers have determined that for exercise to be beneficial, a person’s desirable heart rate, R, in beats per minute, can be approximated by the formulas for women for men, where a represents the person’s age. If the desirable heart rate for a man is 135 beats per minute, how old is he?

Question illustration
A
22.5 years old
B
40 years old
C
45 years old
D
42.5 years old
34

Solve the equation. Then check your solution.

Question illustration
A
–2.7
B
2.7
C
7.9
D
13.78
35

Write the relation as a set of ordered pairs.

Question illustration
A
ordered pairs: {(–1, –2), (0, 1), (3, 2)}
B
ordered pairs: {(–2, –1), (1, 0), (3, 2)}
C
ordered pairs: {(–2, –1), (0, 1), (2, 3)}
D
ordered pairs: {(–1, –2), (1, 0), (2, 3)}
36

Solve the equation. Then check your solution. p = a. c. b. d. Please select the best answer from the choices provided

Question illustration
A
A
B
B
C
C
D
D
37

Solve the equation. Then check your solution.

Question illustration
A
6.9
B
12.6
C
9.9
D
–6.9
38

You work for the National Weather Service and are asked to study the average daily temperatures in Anchorage, Alaska. You calculate the mean of the average daily temperatures for each month. You decide to place the information on a graph in which the date is the input and the temperature is the output. You also decide that January 1950 will correspond to the month 0 as indicated by the dot on the input scale. Determine the quadrant in which you would plot the points that correspond to the following data: The average daily temperature for January 1936 was F.

Question illustration
A
Quadrant III
B
Quadrant IV
C
Quadrant II
D
Quadrant I
39

A plane that carries mail makes a round trip each day from Chicago to New York. It makes 2 intermediate stops on the way to New York and 3 intermediate stops on the way back to Chicago. Suppose you make a graph of the altitude of the plane for one day, with time on the horizontal axis and altitude on the vertical axis. How many times will the graph touch the horizontal axis?

A
5
B
13
C
7
D
8
40

The weights and heights of six mathematics students are given in the following table: Weight (in pounds) Height (in centimeters) 165 172 123 157 212 183 175 178 165 163 147 167 State whether height is a function of weight for the six students and explain.

A
Yes, height is a function of weight because two students weigh 165 pounds but have different heights.
B
No, height is not a function of weight because two students weigh 165 pounds but have different heights.
C
Yes, height is a function of weight because for each weight there is a corresponding height.
D
No, height is not a function of weight because there is not enough data to determine a function.

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