Question

vicky estimates it will take her 46 minutes to drive to the movies, but it only actually ends up taking her 40 minutes. what is the percent error in vickys estimate? round to the nearest whole percent

Explanation:

Step1: Calculate the error

The error is the absolute - value of the difference between the estimated value and the actual value. Let the estimated value $E = 46$ minutes and the actual value $A=40$ minutes. The error $\text{Error}=|E - A|=|46 - 40| = 6$ minutes.

Step2: Calculate the percent error

The formula for percent error is $\text{Percent Error}=\frac{\text{Error}}{A}\times100\%$. Substitute $\text{Error} = 6$ and $A = 40$ into the formula: $\text{Percent Error}=\frac{6}{40}\times100\%=15\%$.

Answer:

15%