Mia and Robert signed up to walk in a 5K walk/run race. They predict it will take them 60 minutes to complete the race. Mia and Robert finish the race in 53 minutes. What is the percent error?

Question

Round to the nearest tenth.

Answer 1

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

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

In this case, the estimated value (the predicted time) is 60 minutes, and the actual value (the actual time taken) is 53 minutes.

Now, let's calculate the percent error:

1. Find the difference: \[ \text{Difference} = 60 - 53 = 7 \text{ minutes} \]

2. Use the formula: \[ \text{Percent Error} = \left( \frac{7}{60} \right) \times 100 \]

3. Calculate: \[ \frac{7}{60} \approx 0.11667 \]

4. Convert to percentage: \[ 0.11667 \times 100 \approx 11.6667 \]

5. Round to the nearest tenth: \[ 11.7 \]

Therefore, the percent error is 11.7%.