Question

A population of 1250 cheetahs decreases by 11% per year. How many cheetahs will there in the population after 4 years?

Answer 1

784 cheetahs

Step-by-step explanation

The population of cheetahs is given by an exponential decrease,

`p(t)=p_o(1-r)^t`

Where r is the decrease rate and p₀ is the initial population.

In this problem, the initial population is 1250 cheetahs, the decrease rate is 0.11 and we have to find the population of cheetahs after t = 4 years,

`p(t)=1250(1-0.11)^4=1250\cdot0.89^4\approx784.28\approx784`

Hence, there will be 784 cheetahs after 4 years.