Question

retry this question belowA population numbers 1,065 organisms initially and increases by 4.6% each year.Suppose Prepresents population, and t the number of years of growth. Write an exponentialmodel to represent this situation.P=

Answer 1

Given: a population numbers 1065 organism initially and incresed by 4.6% each year

Find: the exonential model to represents the situation.

Explanation: the exponential model fit the same pattern

$P=a(b)^t$

where a is initial amount , b is amount of either grow or sink .

so

$a=1065$

and

$\begin{gathered} b=1+0.046 \\ b=1.046 \end{gathered}$

so the exponentail model become

$1065(1.046)^t$

Final answer: The required exponential model to represent the situation is

$1065(1.046)^t$