mark and matthew signed up to do a 5k walk/run race they predict they will finish it in 60 minutes mark and mathew fineshed the race i 53 minutes what is the percant error

1 answer

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

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

In this case:

  • Actual Value (time they finished) = 53 minutes
  • Predicted Value (time they expected) = 60 minutes

Now substituting the values into the formula:

\[ \text{Percent Error} = \left( \frac{53 - 60}{60} \right) \times 100 \] \[ = \left( \frac{-7}{60} \right) \times 100 \] \[ = -11.67 % \]

Since percent error is usually expressed as a positive value, we can take the absolute value:

\[ \text{Percent Error} \approx 11.67% \]

Therefore, the percent error in their prediction is approximately 11.67%.