Question

The table shows the calories burned during exercise.

(picture of the table attached)

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.

Answer 1

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

Explanation:

Answer 2

For this case we observe that the function found in the table is a linear function because the exchange rate is constant.
We have then that the slope of the line is:

`m = (y2-y1)/(x2-x1)`
Substituting values:

`m = (150-75)/(30-15) m = 5`
Then, the equation of the line is:

`y = 5x`
Answer:
C) A linear function to model the burned calories, and, as a function of time in minutes, x, is y = 5x.