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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)

User Sharpie
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1 Answer

6 votes

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}}*100\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}}*100\text{ \%} \\ \\ \text{percent increase = }(36,000,000)/(274,000,000)*100\text{ \%} \\ \\ \therefore\text{percent increase =}0.1314*100\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%

User Neel Bhasin
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