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) ..

1 answer

To find the percent error, you can use the following formula:

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

First, we need to calculate the absolute error, which is the difference between the expected time and the actual time they took to finish the race:

  • Expected time = 60 minutes
  • Actual time = 53 minutes

\[ \text{Absolute Error} = \text{Expected Value} - \text{Actual Value} = 60 - 53 = 7 \text{ minutes} \]

Now, we can plug the values into the percent error formula:

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

Calculating that:

\[ \text{Percent Error} = \left( 0.1167 \right) \times 100 \approx 11.67 \]

Rounding to the nearest tenth, the percent error is:

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

So, the percent error is 11.7%.