Question

The population of Canyon Edge is 210,000, and the rate of population growth is 12.5%.

A. Using the formula for exponential growth, write a formula for the population of the town, y, after x years.

B. Next, use your formula to find population of Canyon Edge after 4 years.

Answer 1

For this case we have a function of the form:

`y = A * (b) ^ x`
Where,
A: initial population
b: growth rate
x: number of years.
We then have the following function:

`y = 210000 * (1,125) ^ x`
For x = 4 years we have:

`y = 210000 * (1,125) ^ 4 y = 336379`
Answer:
the formula for exponential growth is:
y = 210000 * (1,125) ^ x
The population of Canyon Edge after 4 years is:
y = 336379