Question

Every night, Doug drops any coins remaining in his pocket into a glass jar. Yesterday, Doug looked at how full the jar was and estimated he had $25. After he opened the jar and counted the coins, he found that the actual total was $30.60. What is the percent error for his estimate?

Answer 1

Doug's estimate had a percent error of 18.30% when he estimated he had $25 in his jar but actually had $30.60.

Step-by-step explanation:

To calculate the percent error of Doug's estimate, we'll use the formula:

Percent Error = ((True Value - Estimated Value) / True Value) × 100%

We are given that the true value of the coins is $30.60 and Doug's estimate was $25.00.

Substituting these values into the formula gives us:

Percent Error = (($30.60 - $25.00) / $30.60) × 100%

Percent Error = ($5.60 / $30.60) × 100%

Percent Error = 0.1830065359477124 × 100%

Percent Error = 18.30%

So, Doug's estimate had a percent error of 18.30%.