Question

according to a according to a Census Bureau from 2000 to 2016 the population of a certain region Grew From 274 million to 310 million what was the percent of increase?(round to one decimal place as needed)

Answer 1

Answer

The percent increase of the population is: 13.1%

SOLUTION

Problem Statement

The question says the population of a region grew from 274 million to 310 million and we are required to find the percentage increase.

Solution

To solve this question we need to apply the formula below:

$\text{percent increase = }\frac{\text{ increase in population}}{\text{Total initial population}}\times100\text{ \%}$

The increase in population is the difference between the population of the region in 2016 and 2000.

The increase in population is calculated below:

$\begin{gathered} \text{ increase in population = }population\text{ in 2016 - population in 2000} \\ \text{increase in population =}310,000,000-274,000,000 \\ \\ \therefore\text{increase in population =}36,000,000 \end{gathered}$

The total initial population is the population from the year 2000 i.e. 274,000,000.

Thus, we can calculate the percentage increase as:

$\begin{gathered} percent\text{ increase = }\frac{\text{ increase in population}}{\text{Total initial population}}\times100\text{ \%} \\ \\ \text{percent increase = }\frac{36,000,000}{274,000,000}\times100\text{ \%} \\ \\ \therefore\text{percent increase =}0.1314\times100\text{ \%}=13.14\text{ \%} \\ \\ \text{percent increase }\approx\text{ }13.1\text{ \% (to one decimal place)} \end{gathered}$

Final Answer

The percent increase of the population is: 13.1%