Question

In 2001 , a city had a population of 330,00 people. Each year since, the population has grown by 2.5% . Let t be the number of years since 2001 . Let y be the city's population. Write an exponential function showing the relationship between y and t.

Answer 1

Answer: y = 33000(
`1.025^(t)`)

Explanation:

The relative growth rate is 2.5%. This means an additional 2.5% is added on to 100% of the population that already exists each year. This is a factor of 102.5%.

The Population in 2001 = 330000

Since it is an exponential growth, we have

y = 33000(
`1.025^(t)`)