3. Before football tryouts, Leon predicted he could throw a football 24 yards. During tryouts, he was able to throw a football 30 yards. What is the percent error for his prediction?

Question

Be sure to use the percent error formula:

[(estimate - actual) ÷ actual] x 100 = percent error
*
3 points
20%
25%
6%
54%

Answer 1

To calculate the percent error using the formula \([(estimate - actual) ÷ actual] × 100\), we will substitute Leon's estimated throw (24 yards) and the actual throw (30 yards) into the formula.

1. Estimate = 24 yards
2. Actual = 30 yards

Now we can plug these values into the formula:

\[ \text{Percent Error} = \left( \frac{24 - 30}{30} \right) \times 100 \]

Calculating the numerator:

\[ 24 - 30 = -6 \]

Now substitute into the formula:

\[ \text{Percent Error} = \left( \frac{-6}{30} \right) \times 100 \]

Calculating the fraction:

\[ \frac{-6}{30} = -0.2 \]

Now multiply by 100:

\[ -0.2 \times 100 = -20 \]

The percent error, taking the absolute value, is:

\[ \text{Percent Error} = 20% \]

The answer is 20%.