Question

A city has a population of 28000 people. Suppose that each year the population grows by 4.5%. What will the population be after 13 years?

Answer 1

A city has a population of 28,000 people. Suppose that each year the population grows by 4.5%. What will the population be in 13 years?

Answer: Approximately 496,21 people

This is an exponential growth question, specifically population growth. We will use the following equation to help us solve this situation:

`P(t) = a(1+r)^t`

`P(t) = \text{total population} \ (??)`

`\text{a = initial population = 28,000}`

`\text{r = growth factor (the percent as a decimal) = 0.045}`

`1 + r = 1 + 0.045 = 1.045`

`\text{t = time in years = 13}`

So, we can substitute all our information and solve:

`P(13) = 28,000(1.045)^(13) = 496,21.49`

Rounding to the nearest whole person, 496,21 people in 13 years.