Enter Population Growth Word Problem

Solve this population growth problem

acityhasapopulationof260000people.supposethateachyearthepopulationgrowsby8.75%.whatwillthepopulationbeafter12years?usethecalculatorprovidedandroundyouranswertothenearestwholenumber

##### Population Growth Logic

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

P_{0} as our initial population, p as our percent growth, and t as the units of time.

##### Our Population Growth Formula is:

P(t) = P_{0}(1 + p)^{t}

##### We are given the following values:

P_{0} = 260000, p = 0.0875, and t = 12

Since the population increases, we add p = 0.0875

##### Using our given values, our population model is:

P(t) = 260000(1 + 0.0875)^{t}

P(t) = 260000(1.0875)^{t}

##### The problem asks for P(12)

P(12) = 260000(1.0875)^{12}

P(12) = 260000(2.7362210996434)

P(12) = **711417.48590729**

##### Round our answer:

Rounded to the nearest integer, our population is **711417**

##### What is the Answer?

Rounded to the nearest integer, our population is **711417**

##### How does the Population Growth Calculator work?

Free Population Growth Calculator - Determines population growth based on an exponential growth model.

This calculator has 1 input.

### What 1 formula is used for the Population Growth Calculator?

P(t) = P

_{0}(1 + p)

^{t}For more math formulas, check out our

Formula Dossier
### What 4 concepts are covered in the Population Growth Calculator?

- exponent
- The power to raise a number
- exponential
- of or relating to an exponent
- population
- all the inhabitants of a particular town, area, or country.
- population growth

##### Example calculations for the Population Growth Calculator

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