AnswersAZ-Common Core Algebra II BIntroduction to Modeling with Functions

Introduction to Modeling with Functions Answers

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Which situation would be best represented by a linear function?

A
The temperature of a glass of ice water increases by a factor of 1.05 until it reaches room temperature.
B
Wind chill temperature decreases at a greater rate for a low wind velocity and decreases at a lower rate for a high wind velocity when the temperature is 10° Fahrenheit.
C
The outside temperature decreases at a constant rate per hour between sunset and sunrise.
D
The body temperature of a person with pneumonia increases rapidly and then decreases as an antibiotic takes effect.
2
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4

The graph shows the recorded heights of a plant in a soil experiment. Which statements describe the plant height function? Check all that apply.

A
The function is linear.
B
The function is quadratic.
C
The height increases at a constant rate of change.
D
The ratio of height and number of weeks is constant.
E
There is no relationship between height and number of weeks.
5

Which best describes the graph of the data? Which type of function would best model the data?

Answers:
Selection 1:parabola
Selection 2:quadratic
6

Which statement is true?

A
The y-intercept of the function is (15, 75).
B
The rate of change is 15 calories burned per minute.
C
A linear function to model the calories burned, y, as a function of time in minutes, x, is y = 5x.
D
An exponential function to model the calories burned, y, as a function of time in minutes, x, is y = 5x.
7

A science experiment begins with a bacterial population of 12. After 1 hour, the population is 18. After 2 hours, the population is 27. Which best describes the relationship between the time, in hours, and the population of the bacteria? What is the y-intercept of the function? What is the rate of change of the function?

Answers:
Selection 1:exponential
Selection 2:12
Selection 3:multiply 1.5
8

Which function represents profit, P(x), as a function of x, the price per music class?

A
P(x) = –(x – 6)2 + 116
B
P(x) = (x + 6)2 + 116
C
P(x) = –2(80x)
D
P(x) = –80(2x)
9

Which statements describe the value of the car as a function of x, its age in years? Check all that apply.

A
The relationship is quadratic.
B
The relationship is exponential.
C
The domain is {x | x < 0}.
D
The range is .
Option D
E
The value, V, is represented by the equation V = 20,000(0.9)x.
10

Which graph comparing time and dollars would be best represented by an exponential function?

A
[Image: A graph with no labels. A line of orange dots decr...]
B
[Image: A graph with no labels. A line of orange dots decr...]
C
[Image: A graph with no labels. A line of orange dots exte...]
D
[Image: A graph with no labels. A line of orange dots incr...]
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