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)

Question

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Answer 1

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

\[ \text{Percent Error} = \left( \frac{\text{Observed Value} - \text{Expected Value}}{\text{Expected Value}} \right) \times 100 \]

Here, the expected value is the number of bags they predicted to sell, which is 250, and the observed value is the number of bags they actually sold, which is 266.

Let's plug in the values:

\[ \text{Percent Error} = \left( \frac{266 - 250}{250} \right) \times 100 \]

Calculating the difference:

\[ 266 - 250 = 16 \]

Now, substituting that back into the formula:

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

Calculating the fraction:

\[ \frac{16}{250} = 0.064 \]

Now, multiplying by 100:

\[ 0.064 \times 100 = 6.4 \]

Rounding to the nearest whole number, the percent error is:

\[ \text{Percent Error} \approx 6% \]

So, the percent error is 6%.