someone please help me asap please i need by today

Question

Enrollment in a dance studio has grown exponentially since the studio opened. Below is a graph depicting this growth. Determine the average rate of change from x = 0 to x = 8.

An exponential graph has time in years on the x-axis and enrollments on the y-axis. An upward rising curve begins at zero commas twenty and passes through eight comma one hundred and twenty.

A. 120

B. 0.08

C. 20

D. 12.5

Answer 1

The average rate of change is also the slope. Therefore, if we find the slope, we also find the rate of change.

The slope can be calculated as:

m = (y₂- y₁)/(x₂- x₁)

where m is slope, x₂ is the second x value, x₁ is the first x value, y₂ is the second y value, and y₁ is the first y value. When we substitute these into the equation, we have:

m = (8-0)/(120-100) = 8/100 = 0.08

Therefore the rate of change is 0.08.