Angie and Robert signed up to walk in a 5K walk race they predict it will take them 60 minutes to complete the race and Robert finished the race in 53 minutes. What is the percent of air round to the nearest 10th?

Answer 1

To find the percent of error in Robert's completion time compared to their predicted time, we can use the formula for percent error:

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

In this case, the actual value is 53 minutes (Robert's actual finish time), and the predicted value is 60 minutes.

1. Calculate the absolute difference: \[ | 53 - 60 | = 7 \]

2. Divide this difference by the predicted value: \[ \frac{7}{60} \approx 0.1167 \]

3. Convert this to a percentage: \[ 0.1167 \times 100 \approx 11.67% \]

4. Round to the nearest tenth: \[ 11.7% \]

Thus, the percent error is approximately 11.7%.