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:\(a_n=a_0(1-r)^x\)
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.
