Angie and Mike run a race . They predict it will take 60 min but it only took 53 minutes. What is the percent error to the nearest tenth?

Answer 1

To calculate 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, the predicted value is 60 minutes, and the actual value is 53 minutes.

Now, substitute the values into the formula:

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

First, calculate the difference:

\[ 53 - 60 = -7 \]

Now, substitute this back into the formula:

\[ \text{Percent Error} = \left( \frac{-7}{60} \right) \times 100 \]

Next, compute the fraction:

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

Now, multiply by 100:

\[ \text{Percent Error} \approx -11.67 \]

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

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

Therefore, the percent error to the nearest tenth is 11.7%.