Question

A population of geese grow in such a way that each generation is simply 2.2 times the previous generation. There were 3 geese in the first generation, how many will there be by the 15th generation?

Answer 1

Answer: 186655

Explanation:

Given: A population of geese grow in such a way that each generation is simply 2.2 times the previous generation. It means they grow exponentially.

The initial number of geese in the first generation = 3

The exponential growth equation for nth generation is given by :-

`y=Ab^(n-1)`, where A is the initial amount and b is the multiplicative rate of change.

such that for n=1,
`y=3(2.2)^(1-1)=3`

In 15th generation with multiplicative rate of change b= 2.2, the population is given by :-

`y=3(2.2)^(15-1)\\\Rightarrow\ y=3(62218.21)\\\Rightarrow\ y=186654.63\approx186655`