Question

The drama club estimated that 150 people would attend the opening of their play, but there were actually 165 people who attended. What is the percent error to the nearest percent?

A) 5%
B) 8%
C) 10%
D) 15%

Answer 1

The percent error in the estimation of attendees at the drama club's play is about 9%. However, because this option is not listed, the closest to 9% from the given choices is 8%.

Step-by-step explanation:

The student has asked how to calculate the percent error, which evaluates the accuracy of an estimation compared to an actual value. The formula for percent error is:

|(True Value - Estimated Value) / True Value| × 100%

In this case, the drama club estimated 150 attendees but there were actually 165. Using the formula:

|(165 - 150) / 165| × 100% = |15 / 165| × 100% ≈ 9.09%

To the nearest percent, the percent error is 9%, which is not listed in the options provided (A) 5%, (B) 8%, (C) 10%, (D) 15%. It seems that there might be a typo in the list of options. However, the closest option to 9% would be (B) 8%.