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

1 answer

To calculate the percent error, we first need to determine the difference between the actual amount sold and the predicted amount, then divide that difference by the predicted amount, and finally multiply by 100 to get the percentage.

  1. Predicted amount (target) = 250 bags
  2. Actual amount sold = 266 bags
  3. Difference = Actual - Predicted = 266 - 250 = 16 bags

Next, we calculate the percent error:

\[ \text{Percent Error} = \left( \frac{\text{Difference}}{\text{Predicted amount}} \right) \times 100 \]

Substituting the values:

\[ \text{Percent Error} = \left( \frac{16}{250} \right) \times 100 \]

\[ \text{Percent Error} = 0.064 \times 100 = 6.4 \]

Rounding to the nearest whole number, the percent error is 6%.