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)
$$
\text{Percent error} = \frac{\text{actual value} - \text{predicted value}}{\text{predicted value}} \times 100
$$
\text{Percent error} = \frac{266 - 250}{250} \times 100
\text{Percent error} = \frac{16}{250} \times 100
\text{Percent error} = 0.064 \times 100
\text{Percent error} = 6.4
\text{Percent error} \approx 6
To find the percent error, we need to compare the actual value to the predicted value and calculate the difference as a percentage.
The predicted number of popcorn bags sold is 250.
The actual number of popcorn bags sold is 266.
To find the percent error, we can use the following formula:
Percent Error = (|Actual - Predicted| / Predicted) * 100
Substituting the values:
Percent Error = (|266 - 250| / 250) * 100
Calculating the numerator:
|266 - 250| = 16
Now substituting the values again:
Percent Error = (16 / 250) * 100
Calculating the division:
16 / 250 = 0.064
And multiplying by 100:
0.064 * 100 = 6.4
Therefore, the percent error is 6.4%.
To find the percent error, we need to find the difference between the predicted number of bags and the actual number of bags sold, and then divide it by the predicted number of bags. Finally, multiply the result by 100 to get the percentage.
Predicted number of bags sold: 250
Actual number of bags sold: 266
Difference = Actual number of bags sold - Predicted number of bags sold
Difference = 266 - 250 = 16
Percent Error = (Difference / Predicted number of bags sold) * 100
Percent Error = (16 / 250) * 100
Percent Error = 0.064 * 100
Percent Error ≈ 6%
Therefore, the percent error is approximately 6%.