Question

Use the percent error formula to solve the problem.



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)
Responses

11.7%
11.7%

13.2%
13.2%

15.4%
15.4%

17.5%

Answer 1

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

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

In this case:

- **Predicted Value** = 60 minutes
- **Actual Value** = 53 minutes

Now, plugging in the values:

\[
\text{Percent Error} = \left( \frac{53 - 60}{60} \right) \times 100\%
\]

Calculating the numerator:

\[
53 - 60 = -7
\]

Now substituting back:

\[
\text{Percent Error} = \left( \frac{-7}{60} \right) \times 100\%
\]

Calculating:

\[
\frac{-7}{60} \approx -0.1167
\]

Then multiplying by 100%:

\[
-0.1167 \times 100\% \approx -11.67\%
\]

Since we usually report percent error as a positive value, we take the absolute value:

\[
\text{Percent Error} \approx 11.7\%
\]

Therefore, the answer is:

**11.7%**