Question

Write an exponential model (equation) that represents the following situations.

The population of Mexico City, Mexico after
t years when its current population is
8,851,000 with 2% growth each year.
a. Write the equation.

b. After 5 years what is the population?

Answer 1

9,772,219 (Approx)

Explanation:

Given:

Current population = 8,851,000

Growth rate = 2% = 0.02

a. Time = t

b. Time = 5 years

Find:

a. Write the equation.

b. Population after 5 year = ?

Computation:

a. Equation for the following question:

After population =
`Current\ population(1+r)^n`

`After\ population =8,851,000(1+0.02)^t\\\\After\ population =8,851,000(1.02)^t`

b. Population after 5 year

`=8,851,000(1.02)^5\\\\=9,772,219.16`