Question

a population of 1200 leopards decreases by 12% per year. How many leopards will there be in the population after 6 years? Round your answer to the nearest whole number.

Answer 1

After 6 years approximately 557 leopards would be left.

Answer 2

557

Explanation:

We are given that a population of 1200 leopards decreases by 12% per year.

So, we will use exponential function:
`a_n=a_0(1-r)^x`

Where
`a_n` is the population left.

`a_0` is the initial population.

r = rate of decrease

x = time

Now
`a_0=1200`

r =12%=0.12

x = 6 years

Substitute the values.

`a_n=1200(1-0.12)^6`

`a_n=1200(0.464404086784)`

`a_n=557.28`

Thus there will be 557 leopards in the population after 6 years.