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.

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:
 [tex]m = \frac{y2-y1}{x2-x1} [/tex]
 Substituting values:
 [tex]m = \frac{150-75}{30-15} m = 5[/tex]
 Then, the equation of the line is:
 [tex]y = 5x [/tex]
 Answer:
 C) A linear function to model the burned calories, and, as a function of time in minutes, x, is y = 5x.