Suppose a rabbit population of 10 rabbits triples every month. Write and solve a function for how many rabbits will exist after 3 months.

40

Step-by-step explanation:

10 rabbits

+ 3 months = 30 rabbits

40 rabbits

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.