Introduction to Modeling with Functions

Question 1

Which situation would be best represented by a linear function?

Revolt · Accepted Answer

The outside temperature decreases at a constant rate per hour between sunset and sunrise.

Question 2

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

Revolt · Accepted Answer

The function is linear.; The height increases at a constant rate of change.

Question 3

Which best describes the graph of the data?

Revolt · Accepted Answer

✔ parabola; parabola; quadratic

Question 4

Which statement is true?

Revolt · Accepted Answer

A linear function to model the calories burned, y, as a function of time in minutes, x, is y = 5x.

Question 5

A science experiment begins with a bacterial population of 12. After 1 hour, the population is 18. After 2 hours, the population is 27.

Revolt · Accepted Answer

✔ exponential; exponential; 12; multiply 1.5

Question 6

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

Revolt · Accepted Answer

P(x) = –(x – 6)2 + 116

Question 7

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

Revolt · Accepted Answer

The relationship is exponential.; The range is .; The value, V, is represented by the equation V = 20,000(0.9)x.

Introduction to Modeling with Functions Answers