Question

Enrollment in a school has grown exponentially since the school opened. Below is a graph depicting this growth. Determine the average rate of change from x = 0 to x = 20.
An exponential graph has time in years on the x axis and enrollments on the y axis. An upward rising curve begins at zero comma thirty and passes through twenty comma eighty.

0.4

2.5

5

30

Answer 1

Answer:

2.5

Step-by-step explanation:

The average rate of the function f(x) from x=a to x=b is given by:

$\frac{f(b)-f(a)}{b-a}$

From the question, the exponential function goes through (0,30) and (20,80).

This implies that f(0)=30 and f(20)=80

Therefore the average rate of change from x = 0 to x = 20 is

$=\frac{f(20)-f(0)}{20-0}$

$=\frac{80-30}{20}$

$=\frac{50}{20}=2.5$

The second choice is correct

Answer 2

Answer:

12.5

Step-by-step explanation:

if you divide 100 by 8, it gives you 12.5 & that is the rate of change for  x = 0 to x = 8.