To calculate the percent error in Julian and Brittany's prediction for the number of attendees at their wedding, we can use the following formula for percent error:
\[ \text{Percent Error} = \left( \frac{\text{Estimated Value} - \text{Actual Value}}{\text{Estimated Value}} \right) \times 100 \]
Here, the estimated value is the total number of invitations sent, which is 275, and the actual value is the number of people committed to attending, which is 265.
Now, plug in the values:
\[ \text{Percent Error} = \left( \frac{275 - 265}{275} \right) \times 100 \] \[ = \left( \frac{10}{275} \right) \times 100 \] \[ = 0.03636363636 \times 100 \] \[ \approx 3.64% \]
Rounding to the nearest hundredth percent, the percent error is approximately 3.64%.
Thus, if the options listed are:
- −4.00%
- 3.77%
- 0.038%
- 3.63%
The closest response, which is not an exact match due to rounding, would be 3.63%.