In the 2010 census, the final count was 308,745,538 people. The general population is estimated to have been undercounted by about 2.5%. That is (100-2.5) percent of the people were counted. If this were the case, what was the actual 2010 population?

Question

Mathematics

Amya Strong

10 January, 13:25

In the 2010 census, the final count was 308,745,538 people. The general population is estimated to have been undercounted by about 2.5%. That is (100-2.5) percent of the people were counted. If this were the case, what was the actual 2010 population?

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Answers (1)

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Anika Bradley · Answer 1

Answer:the actual 2010 population is 316662090

Step-by-step explanation:

The final count in the 2010 census was 308,745,538. The general population is estimated to have been under counted by about 2.5%.

Let x represent the actual 2010 population. Therefore, it means that the final population count 2.5% below x. The amount by which it was below x would be

2.5/100 * x = 0.025 * x = 0.025x

The final count in the 2010 census would be

x - 0.025x = 0.975x

Therefore

0.975x = 308745538

x = 308745538/0.975 = 316662090