Question

mark and Mathew 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 finishes the race in 53 minutes what is the percent error round to the nearest tenth

Answer 1

To find the percent error, you 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**: Mark and Matthew's finishing time = 53 minutes
- **Predicted Value**: Their predicted finishing time = 60 minutes

Now, let's plug in the values:

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

First, calculate the difference:

\[
53 - 60 = -7
\]

Now, divide by the predicted value:

\[
\frac{-7}{60} \approx -0.1167
\]

Now multiply by 100 to get the percentage:

\[
-0.1167 \times 100 \approx -11.67
\]

Rounding to the nearest tenth, the percent error is approximately:

\[
-11.7\%
\]

Since the percent error is negative, it indicates they finished faster than predicted. When expressing percent error, you can refer to this as an 11.7% underestimation of the predicted time.