Question

In 2012 the population of a city was 5.92 million in exponential growth was 2.77% per year find the exponential growth function

Answer 1

The exponential growth function is
`P(x)=5.92(1.0277)^x`

Explanation:

Given:

Initial population of a city is,
`P_0=5.92\ million`

Exponential growth rate is,
`r=2.77\%=0.0277`

Let the population for a given year 'x' be
`P(x)` millions.

Now, the exponential growth of a population is given as:

`P(x)=P_0(1+r)^x`

Plug in 5.92 for
`P_0` and 0.0277 for
`r`. This gives,

`P(x)=5.92(1+0.0277)^x\\P(x)=5.92(1.0277)^x`

Therefore, the exponential growth function is
`P(x)=5.92(1.0277)^x`.