Question

If there are 25,682 people living in Jarvieville in 2015, and the population increases 20% each year...

a) write the equation to use to predict future years
b) how many people will there be in this town in the year 2018?

Answer 1

`f(x)=25,682(1.2)^(t)`

44378.496=44,379

Explanation:

We can write the equation using a growth equation
`f(x)=P(1+r)^(t)` where:

• P is the starting value
• r is the percent or rate as a decimal
• t is years

We will substitute into the formula P=25,682, r=0.2 and t =3 for 3 years since 2018 is 3 years after 2015.

`f(x)=25,682(1+0.2)^(3)`

`f(x)=25,682(1.2)^(3)`

`f(x)=44378.496`