Question

The rabbit population in Morgan County, which is currently at 9,400 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.

_____ rabbits

Answer 1

19270

Explanation:

Population of rabbit in Morgan county Is 9400 .

The number is currently increasing by 15% each year

That is 15% /100% x 9400

0.15 x 9400 = 1410

That means 15% increase each year means 1410 rabbits are added each year .

Therefore, number of rabbits in seven years will be

1410 x 7yrs + 9400

9870 + 9400 = 19270

So, there will be 19270 rabbits in Morgan’s county in 7 years time

Answer 2

Answer: there would be 25004 after 7 years.

Explanation:

The population of rabbits in increasing by 15% each year. This means that the growth rate is exponential. We would apply the formula for exponential growth which is expressed as

A = P(1 + r)^ t

Where

A represents the population after t years.

t represents the number of years.

P represents the initial population.

r represents rate of growth.

From the information given,

P = 9400

r = 15% = 15/100 = 0.15

t = 7

Therefore,

A = 9400(1 + 0.15)^ 7

A = 9400(1.15)^ 7

A = 25004