Question

Enrollment at a golf academy has grown exponentially since the academy opened. Below is a graph depicting this growth. Determine the average rate of change from x = 0 to x = 4.

An exponential graph has time in years on the x-axis and enrollments on the y-axis. An upward rising curve begins at zero, fifteen and passes through four, seventy-five.
A) 15 units/year
B) 60 units/year
C) 75 units/year
D) 240 units/year

Answer 1

The average rate of change from x=0 to x=4 is 15 units/year.

Step-by-step explanation:

The average rate of change from x=0 to x=4 can be found by calculating the difference in enrollments between these two points and dividing it by the difference in time. In this case, the enrollment at x=0 is 15 and at x=4 is 75, so the change in enrollment is 75 - 15 = 60. The change in time is 4 - 0 = 4 years. Therefore, the average rate of change is 60/4 = 15 units/year.