atownhasapopulationof100000andgrowsat7%everyyear.whatwillbethepopulationafter19years

Crop Image

×

Crop

Solve this population growth problem

atownhasapopulationof100000andgrowsat7%everyyear.whatwillbethepopulationafter19years

Population Growth Logic

We model our population growth equation, P(t) using the following variables:

P₀ as our initial population, p as our percent growth, and t as the units of time.

Our Population Growth Formula is:

P(t) = P₀(1 + p)^t

We are given the following values:

P₀ = 100000, p = 0.07, and t = 19

Since the population increases, we add p = 0.07

Using our given values, our population model is:

P(t) = 100000(1 + 0.07)^t

P(t) = 100000(1.07)^t

The problem asks for P(19)

P(19) = 100000(1.07)¹⁹

P(19) = 100000(3.6165275350338)

P(19) = 361652.75350338

Round our answer:

Play

Tags:

• exponent
• exponential
• population growth
• population