Question

A species of frog on an island initially had a population of 350 when scientists first began studying it. Since then the population has increased 5.5% each year. If this trend continues, how many of the frogs will there be after 18 years?

Answer 1

918

Explanation:

To find the population in a future year, use the formula:

`A = P (1+/-r)^t`

where A is the amount, p is the starting population, r is 5.5% or 0.055, and t is the number of years.

Since the population is increasing it is addition. Here we are finding A. Substitute P =350, r=0.055 and t=18.

`A=P(1+r)^t\\A=350(1+0.055)^18\\A=350(1.055)^18\\A= 917.5\\`