Question

The rabbit population in Logan County, which is currently at 6,516 rabbits, is increasing by 15% each year. How many rabbits will there be in 7 years?If necessary, round your answer to the nearest whole number.

Answer 1

Given data;

The current rabbit population in the Logan country = 6516.

the increse in the population each year = 15 %.

to find the population of rabbit after 7 years.

so, 15 % of 6516 is,

use the formula,

$\begin{gathered} A=p_0(1+\frac{1}{n})^{nt}_{} \\ \end{gathered}$$\begin{gathered} p(t)=6516(1+\frac{0.15}{1})^t \\ p(t)=6516(1.15)^t \\ p(7)=6516(1.15)^7 \\ p\mleft(t\mright)=6516\mleft(2.66\mright) \\ =17332.68 \end{gathered}$

there will be 17333 rabbits will there be in 7 years

Thus, the answer is 17333.