Question

Suppose the population of a town is 2700 and is growing 4% per year. Write an equation to model the population growth. Predict the population after 12 years

Answer 1

Equation: P = P0(1.04)^n

Population at 12 years: 4323

Explanation:

The population starts at 2700 and increases by 4% per year. In equation form this can be written as:

P = P0(1.04)^n

Where P is the final population, P0 is the initial population, and n is the number of years.

Subbing in 2700 for P0 and 12 for n we get:

P = 2700(1.04)^12

P = 4323