Question

Mark and Matthew 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 finished the race in 53 minutes. What is the percent error? Round to the nearest tenth. is the answer negative or positive

Answer 1

[AI-generated answer — Bot GPT 3.5]

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

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

In this case, the predicted value is 60 minutes and the actual value is 53 minutes:

\[ \text{Percent Error} = \left| \frac{60 - 53}{53} \right| \times 100 \]
\[ = \left| \frac{7}{53} \right| \times 100 \]
\[ = \frac{7}{53} \times 100 \]
\[ \approx 13.2 \]

Rounding to the nearest tenth, the percent error is approximately 13.2%. Since the actual value is smaller than the predicted value, the percent error is positive.

Answer 2

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

In this case, the predicted value is 60 minutes and the actual value is 53 minutes:

\[ \text{Percent Error} = \left| \frac{60 - 53}{53} \right| \times 100 \]
\[ = \left| \frac{7}{53} \right| \times 100 \]
\[ = \frac{7}{53} \times 100 \]
\[ \approx 13.2 \]

Rounding to the nearest tenth, the percent error is approximately 13.2%. Since the actual value is smaller than the predicted value, the percent error is positive. can you explain