A city's population grew from 120 , 000 120,000 to 138 , 000 138,000 people in one year. What is the percent increase in population?

So a city's population grew from 120,000 to 138,000 people in one year. What is the percent increase in population? Now remember, to find percent change, we need to find the difference between our new and original value, and then divide by our original value. So here we have our original value of 120,000 people, and it grew to our new value of 138,000 people. So to find our change in population, we need to do 138,000 minuteus 120,000. And subtracting those we get 18,000 people is our change in population. And now to find our percent change, we simply take that change in population and divide by the original population of 120,000 people. And we get 0.15, which is in decimal form. So converting to percent form, we get 15%. So the population saw a 15% increase.

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Percent Problem Solving

Intermediate Algebra

3. Solving Word Problems

Percent Problem Solving

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Multiple Choice

A city's population grew from $120 comma 000$ to $138 comma 000$ people in one year. What is the percent increase in population?

$0.15\%$

$13\%$

$0.13\%$

Verified step by step guidance

Identify the original population and the new population. Here, the original population is \$120,000$ and the new population is $138,000$.

Calculate the increase in population by subtracting the original population from the new population: $\text{Increase} = 138,000 - 120,000$.

Find the percent increase by dividing the increase by the original population: $\text{Percent Increase} = \frac{\text{Increase}}{120,000}$.

Convert the decimal form of the percent increase to a percentage by multiplying by 100: $\text{Percent Increase} \times 100$.

Express the final answer with a percent sign (%) to indicate it is a percentage increase.

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A city's population grew from $120 comma 000$ to $138 comma 000$ people in one year. What is the percent increase in population?