Question

Write an exponential function to model the following situation

A population of 140,000 grows 4% per year for 16 years .
How much will the population be after 16 years?

Answer 1

`y = 140000(1.04)^(x)`; 262 000

Explanation:

The general formula for an exponential function is

`y = a(b)^(x)`

a = 140 000; b = 1.04; x = 16

`y = 140000(1.04)^(x)`

y = 140 000(1.04)¹⁶

y = 140 000 × 1.873

y = 262 000

The graph below shows the population growth over time.