There are 50 tree frogs in the botanical gardens at t = 0. The population increases exponentially by 20% per year.

(A) Write an equation that models the problem

(B) about how many tree frogs will there be when t=3?

(C) about how many years will it take until the tree frog population is 200?

(D) what was the tree frog population at t = - 1?

Question

Mathematics

Hugh Montoya

14 February, 13:12

There are 50 tree frogs in the botanical gardens at t = 0. The population increases exponentially by 20% per year.

(A) Write an equation that models the problem

(B) about how many tree frogs will there be when t=3?

(C) about how many years will it take until the tree frog population is 200?

(D) what was the tree frog population at t = - 1?

+4

Answers (1)

Know the Answer?

Beau Hinton · Answer 1

A)

f (t) = 50 * 1.2^t

B)

f (3) = 50 * 1.2^3 = 86.4 tree frogs

C)

f (t) = 50 * 1.2^t = 200 - -> t = LN (200/50) / LN (1.2) = 7.604 years

D)

f (-1) = 50 * 1.2^ (-1) = 41.67 tree frogs