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

c.)

step-by-step explanation:

1 number

if we use a graphing calculator, there is only one such number that satisfies the conclusion of the mean value theorem, that is, a number such that

where the right-hand side is the average rate of change of f on the interval [0.5,0.75], which is the slope of the secant line.

in the attached graph, the black line is the secant line which has its slope as the average rate of change of f on [0.5,0.75], while the orange line is the only tangent line to the graph of f in the interval that satisfies the mvt conclusion.