Question

Mark and Matthew signed up to walk in a 5K walk/run race. They predict it will take them 60 minutes to complete the race. Mark and Matthew finished the race in 53 minutes. What is the percent error? Round to the nearest tenth.(1 point)






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Answer 1

To calculate the percent error, you can use the formula:

\[
\text{Percent Error} = \left( \frac{\text{Estimated Value} - \text{Actual Value}}{\text{Estimated Value}} \right) \times 100
\]

In this case, the estimated value is 60 minutes (the predicted time), and the actual value is 53 minutes (the time they actually took).

1. Subtract the actual value from the estimated value:
\[
60 - 53 = 7 \text{ minutes}
\]

2. Divide that difference by the estimated value:
\[
\frac{7}{60} \approx 0.1167
\]

3. Multiply by 100 to get the percent error:
\[
0.1167 \times 100 \approx 11.67
\]

4. Round to the nearest tenth:
\[
\text{Percent Error} \approx 11.7\%
\]

So, the percent error is approximately **11.7%**.