Question

Roy estimated that the repairs to his car would cost $130. The actual bill was $105. What was the percent error? Round your answer to the nearest whole percent

Answer 1

To calculate Roy's percent error in his car repair cost estimate, we subtract the estimate from the actual cost, take the absolute value, divide by the actual cost, and then multiply by 100%. After rounding to the nearest whole percent, Roy's percent error is 24%.

Step-by-step explanation:

The question asks about calculating the percent error of an estimate for car repairs. To find the percent error, we use the formula:

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

Roy's estimate was $130, and the actual cost was $105. Plugging these numbers into the formula gives:

Percent Error = (|$130 - $105| / $105) × 100% = (|25| / 105) × 100% ≈ 23.81%

Round this to the nearest whole percent to get 24% as the percent error.