Question

Ashton, Anywhere had a population of 294876 in 2007. The population is inci upon this data, predict the population for in 9 years.

Answer 1

378,075

Step-by-step explanation:

The population of Ashton in 2007 = 294876

The population increases at a constant rate of 2.8%.

Therefore, the population at any time, t after 2007 is:

`\begin{gathered} P(t)=294876(1+2.8\%)^t \\ P(t)=294876(1+0.028)^t \\ P(t)=294876(1.028)^t \end{gathered}`

Therefore, the population in 9 years time will be:

`\begin{gathered} P(9)=294876(1.028)^9 \\ =378074.6 \\ \approx378,075 \end{gathered}`

The predicted population in 9 years will be 378,075.