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)
%

Answer 1

To calculate the percent error, we 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 and the actual value is 53 minutes.

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

Calculating the difference:

\[
60 - 53 = 7
\]

Now, substituting back into the formula:

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

Now calculate the fraction:

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

Now multiplying by 100:

\[
0.1167 \times 100 \approx 11.67
\]

Rounding to the nearest tenth:

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

Therefore, the percent error is **11.7%**.