Introduction to Modeling with Functions

Question 4 • AZ-Common Core Algebra II B

Which statement is true?

Answer

The y-intercept of the function is (15, 75).

The rate of change is 15 calories burned per minute.

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

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

Explanation

The linear model is y = 5x, so the rate of change is 5 calories per minute, not 15. Its y-intercept is (0, 0), not (15, 75). Therefore, the true statement is that a linear function modeling calories burned is y = 5x.

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