Question

Julian and Brittany melt 275 wedding invitations to family and friends and predicted that they would all of them only $265 out of the 275 people committed to attending the wedding calculate the percent error and the prediction around your answer to the nearest hundred percent a 3.77% babe 0.038% C 3.63%, the -4.00%

Answer 1

To calculate the percent error, we need to use the formula for percent error:

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

In this case:

- Actual Value (total invitations) = 275
- Predicted Value (number of people committing to attend) = 265

Now, substituting the values:

\[
\text{Percent Error} = \left| \frac{275 - 265}{275} \right| \times 100
\]

Calculating the difference:

\[
275 - 265 = 10
\]

So,

\[
\text{Percent Error} = \left| \frac{10}{275} \right| \times 100
\]

Next, we calculate \( \frac{10}{275} \):

\[
\frac{10}{275} \approx 0.03636
\]

Now, multiplying by 100 to get the percentage:

\[
0.03636 \times 100 \approx 3.636
\]

So, rounding to the nearest hundredth gives us:

\[
\text{Percent Error} \approx 3.64\%
\]

Rounding that to the nearest hundred percent results in:

**4%**

Based on the options given, if the option is listed as \(-4.00\%\), the answer aligning to that would be \(-4.00\%\). Thus, the correct interpretation of this would be:

The percent error is approximately **4.00%**.