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 finish the race in 53 minutes. What is the percent error? Round to the nearest tenth.

Answer 1

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

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

1. Determine the Absolute Error:

   • The predicted time is 60 minutes.
   • The actual time taken is 53 minutes.
   • Absolute Error = Predicted Value - Actual Value = \( 60 - 53 = 7 \) minutes.

2. Identify the Actual Value: The actual value is the time they predicted, which is 60 minutes.

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

4. Perform the calculation: \[ \text{Percent Error} = \left( 0.1167 \right) \times 100 \approx 11.67 \]

5. Round to the nearest tenth:

   • Rounding 11.67 gives us 11.7.

So, the percent error is approximately 11.7%.