Question

Chase estimates that the wait time for a table at her favorite restaurant on Saturday evening is30 minutes. The actual wait time is 44.5 minutes. What is the percent error ofChase's estimate? Round the percent to the nearest tenth if necessary.

Answer 1

The percentage error can be calculated using a formula give as follows;

`\begin{gathered} \delta=|(\upsilon a-\upsilon e)/(\upsilon e)|*100 \\ \text{Where }\delta=percent\text{ error} \\ \upsilon a=actual\text{ value} \\ \upsilon e=\exp ected\text{ value} \\ \delta=|(44.5-30)/(30)|*100 \\ \delta=|(14.5)/(30)|*100 \\ \delta=0.4833*100 \\ \delta=48.33 \\ \delta\approx48.3\text{ (to the nearest tenth)} \end{gathered}`

The percentage error rounded to the nearest tenth equals 48.3%