AnswersAZ-Common Core Algebra II BIntroduction to Modeling with Functions

Introduction to Modeling with Functions Answers

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1
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Julia finds that the data in the table can be modeled by the function y = 5(4)x.

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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.
2
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Brandon enters a contest at the gym. He earns 1 point for his first workout. If he works out the next day, he earns double the points of the previous day. Brandon creates the graph to show the number of points that can be earned on the nth consecutive day of working out.

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A
8
B
32
C
64
D
128
3

The graph shows the relationship between a gift card balance and the number of visits to a smoothie shop.

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A
$18.00
B
$4.00
C
$3.00
D
$6.00
4

The amount of a radioactive substance remaining after t years is given by the function , where m is the initial mass and h is the half-life in years. Iron has a half-life of 2.7 years. Which equation gives the mass of a 200 mg iron sample remaining after t years, and approximately how many milligrams remain after 12 years?

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A
; 2.6 mg
Option A
B
f(t)=2.7(0.5)t; 0.0007 mg
C
f(t)=200(0.5)t; 0.05 mg
D
; 9.2 mg
Option D
5

The graph represents the expected hourly revenue, in dollars, y, earned by a car wash for each decrease of x dollars in the price of a car wash.

Question illustration
A
$100
B
$150
C
$200
D
$225

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