Question

A population numbers 13,000 organisms initially and grows by 11.8% each year. Suppose Prepresents population, and the number of years of growthAn exponential model for the population can be written in the form P = a * b ^ t whereP=

Answer 1

Given

13,000 organisms initially

grows by 11.8% each year = 118/1000 = 0.118

Find

Write an exponential model for the population

Explanation

An exponential model for the population is given by

$P=a(1+r)^t$

so ,

$\begin{gathered} P=13000(1+0.118)^t \\ P=13000(1.118)^t \end{gathered}$

Final Answer

Hence , an exponential model for the population is given by

$13000(1.118)^t$