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:

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

In this case:

- The expected value (goal) is 250 bags.
- The actual value (bags sold) is 266 bags.

Now, we can substitute these values into the formula:

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

Calculating the difference:

\[
266 - 250 = 16
\]

Now we can plug that 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 gives us:

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

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