Introduction to Modeling with Functions Answers

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21
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Alicia bought a notebook and several erasers at the student store. The graph shows the relationship between the total cost of her items and the number of erasers she purchased.

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A
$1.00
B
$1.50
C
$2.00
D
$3.50
22
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The graph shows the relationship between the weight of a box and the number of books added to the box.

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A
f(x) = 0.5x + 1.5
B
f(x) = 0.75x + 2
C
f(x) = 1.5x + 0.5
D
f(x) = 2x + 0.75
23

Lindsay is creating a bridge out of dried pasta and glue. In her plans, she sketches the graph to determine the lengths of the noodles, in centimeters, needed for the arch to increase the length of the bridge in 1-centimeter increments.

Question illustration
A
f(x) = (x – 5)2 + 8
B
f(x) = –(x + 5)2 + 8
C
f(x) = 0.5(x + 5)2 + 8
D
f(x) = –0.5(x – 5)2 + 8
24

Julia finds that the data in the table can be modeled by the function y = 5(4)x.

Question illustration
A
Julia is correct because the distance starts at 5 feet and increases by a factor of 4.
B
Julia is correct because the function is true for (0, 5) and (1, 20).
C
Julia is not correct because the function is not true for the point (2, 80).
D
Julia is not correct because the distance does not increase by a constant factor each minute.
25

The graph shows the relationship between the amount of change given from a $10 bill and the number of bagels purchased.

Question illustration
A
f(x) = + 10
Option A
B
f(x) = + 10
Option B
C
f(x) = + 10
Option C
D
f(x) = + 10
Option D

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