Answer:
557
Step-by-step explanation:
We are given that a population of 1200 leopards decreases by 12% per year.
So, we will use exponential function:[tex]a_n=a_0(1-r)^x[/tex]
Where [tex]a_n[/tex] is the population left.
[tex]a_0[/tex] is the initial population.
r = rate of decrease
x = time
Now [tex]a_0=1200[/tex]
r =12%=0.12
x = 6 years
Substitute the values.
[tex]a_n=1200(1-0.12)^6[/tex]
[tex]a_n=1200(0.464404086784)[/tex]
[tex]a_n=557.28[/tex]
Thus there will be 557 leopards in the population after 6 years.
