Mark and Matthew signed up to walk in a 5k walk 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 in their prediction, we can use the following formula:

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

In this case, the predicted time is 60 minutes, and the actual time they finished is 53 minutes.

1. Calculate the difference: \[ \text{Actual Value} - \text{Predicted Value} = 53 - 60 = -7 \text{ minutes} \]

2. Calculate the percent error: \[ \text{Percent Error} = \left( \frac{-7}{60} \right) \times 100 \]

3. Perform the division: \[ \frac{-7}{60} \approx -0.11667 \]

4. Multiply by 100: \[ -0.11667 \times 100 \approx -11.67 \]

Since we typically report percent error as a positive value, we take the absolute value:

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

Thus, the percent error, rounded to the nearest tenth, is 11.7%.