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 following 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 (the time they expected to finish).
• The Actual Value is 53 minutes (the time they actually took).

Now, we can plug in the values:

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

Calculating the numerator:

\[ 53 - 60 = -7 \]

Now substituting back into the formula:

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

Calculating the fraction:

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

Now multiplying by 100 gives:

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

To find the percent error as a positive value, we take the absolute value:

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

Rounding to the nearest tenth, the percent error is:

\[ \boxed{11.7} \]