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Math  /  Numbers & Operations

QuestionOne year, the population of a city was 352,000. Several years later it was 337,920 . Find the percent decrease.
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Studdy Solution

STEP 1

1. The initial population of the city was 352,000 352,000 .
2. The later population of the city is 337,920 337,920 .
3. We need to find the percent decrease in the population.

STEP 2

1. Calculate the decrease in population.
2. Calculate the percent decrease.

STEP 3

Calculate the decrease in population by subtracting the later population from the initial population.
Decrease=352,000−337,920 \text{Decrease} = 352,000 - 337,920

STEP 4

Perform the subtraction to find the decrease.
Decrease=352,000−337,920=14,080 \text{Decrease} = 352,000 - 337,920 = 14,080

STEP 5

Calculate the percent decrease using the formula:
Percent Decrease=(DecreaseInitial Population)×100\text{Percent Decrease} = \left(\frac{\text{Decrease}}{\text{Initial Population}}\right) \times 100
Substitute the known values:
Percent Decrease=(14,080352,000)×100\text{Percent Decrease} = \left(\frac{14,080}{352,000}\right) \times 100

STEP 6

Perform the division and multiplication to find the percent decrease.
Percent Decrease=(14,080352,000)×100=4%\text{Percent Decrease} = \left(\frac{14,080}{352,000}\right) \times 100 = 4\%
The percent decrease in the population is:
4%\boxed{4\%}

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