Mia and Robert signed up to walk in a 5K walk/run race. They predict it will take them 60 minutes to complete the race. Mia and Robert finish the race in 53 minutes. What is the percent error?

Question

Round to the nearest tenth.

Answer 1

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

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

In this scenario:

• Estimated Value = 60 minutes
• Actual Value = 53 minutes

Now, we plug in the values:

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

Calculating the difference:

\[ 60 - 53 = 7 \]

Now we substitute that back into the formula:

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

Calculating the fraction:

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

Now, multiplying by 100:

\[ 0.1167 \times 100 \approx 11.67 \]

Finally, rounding to the nearest tenth:

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

Thus, the percent error is 11.7%.