The population of the United States grew from 76 million in 1900 to 300 million in 2006, what is the percent change?

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Answer 1 · 2017-04-23T23:46:54

See the entire solution process below:

The formula for calculating the percent change in a value between two points in time is:

$p = \frac{N - O}{O} \cdot 100$ $p = (N - O)/O *100$

Where:

$p$ $p$ is the percent change - what we are solving for in this problem.

$N$ $N$ is the New Value - 300 million in this problem.

$O$ $O$ is the Old Value - 76 million in this problem.

Substituting and solving for $p$ $p$ gives:

$p = \frac{300 - 76}{76} \cdot 100$ $p = (300 - 76)/76 *100$

$p = \frac{224}{76} \cdot 100$ $p = 224/76 *100$

$p = \frac{22400}{76}$ $p = 22400/76$

$p = 294.7$ $p = 294.7$ rounded to the nearest tenth.

Between 1900 and 2006 there was a 294.7% increase in the population of the United States.