Aphra club would like to raise money for 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 around the answer to the nearest whole number

Answer 1

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

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

In this case:

• Predicted Value = 250 bags
• Actual Value = 266 bags

Now, plug the values into the formula:

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

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

3. Perform the division: \[ \frac{16}{250} = 0.064 \]

4. Multiply by 100 to get the percentage: \[ 0.064 \times 100 = 6.4 \]

Finally, rounding to the nearest whole number, the percent error is:

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

So, the percent error around the answer to the nearest whole number is 6%.