Answer !
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.

a. 120
b. 0.08
c. 20
d. 12.5

The average rate of change is the ratio of the change in y to the change in x values of a graph ; that is the ratio of the rise to the run. Hence, the average rate of change in growth is 12.5

Rise = y2 - y1 ;

Run = x2 - x1 ;

Therefore, the slope of the graph can be expressed thus :

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Enrollment at X = 0 is at 20.

Enrollment at X = 8 is 120.

Find the difference between those values:

120 - 20 = 100

Divide that difference by the difference in the x values:

100 /8 = 12.5

The answer is D. 12.5

the transverse axis of a hyperbola is the line that contains the two vertices and the two focuses.

in this example (hyperbola of equation x^2/2 - y^2/4 = 1), the transverse axis is the  x-axis  . 

step-by-step explanation: