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

Answer:

$y = 140000(1.04)^{x}$; 262 000

Step-by-step 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.