Question

Write an exponential function to model the following situation.

A population of 140,000 grows 5% per year for 15 years.
How much will the popluation be after 15 years?
Write an exponential function in terms of x.
X
y-DO

Answer 1

291050 people

Explanation:

The formula for exponential growth is given by; a(1 + r)ⁿ

where;

a is the initial population

r is the rate of change

y is the final population

x is the number of years

r is the rate of change

We are given;

Initial population; a = 140000

Rate; r = 5% = 0.05

Number of years; x = 15 years

Thus, in terms of x;

y = 140000(1 + 0.05)^(x)

Now, after 15 years, we now have;

y = 140000(1 + 0.05)^(15)

y = 291049.94511

Approximating to a whole number gives;

y = 291050 people