Question

We have a starting population size of 100, and the rate of population growth is our equal 0.3, the size of the population in the next generation would be 130, and the population size and the generation after that would be

Answer 1

`169`

1) According to the given data, we can write out the following exponential model:

`\begin{gathered} y=100\left(1+0.3\right)^x \\ y=100\left(1.3\right)^x\Rightarrow y=100\left(1.3\right)^1=130 \end{gathered}`

2) So now that we verified the first generation, we can write out for the second generation:

`y=100\left(1.3\right)^2\Rightarrow y=169`

So in the next period, the population would be equal to 169 people.