Question

A photography club would like to raise money for a local health organization by selling popcorn. The club predicts they need to sell 250 bags of popcorn to reach their goal. At the end of the fundraiser, they sold 266 bags of popcorn and met their goal. What is the percent error? Round the answer to the nearest whole number. (1 point) %

Answer 1

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

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

In this case:
- Estimated Value (goal) = 250 bags
- Actual Value (sold) = 266 bags

Now, let's plug these values into the formula:

1. Calculate the absolute error:
\[
|\text{Actual Value} - \text{Estimated Value}| = |266 - 250| = 16
\]

2. Now substitute into the percent error formula:
\[
\text{Percent Error} = \left( \frac{16}{250} \right) \times 100
\]

3. Calculate:
\[
\text{Percent Error} = \left( 0.064 \right) \times 100 = 6.4\%
\]

4. Finally, rounding to the nearest whole number:
\[
\text{Percent Error} \approx 6\%
\]

Therefore, the percent error is **6%**.