Question

bill estimates his vintage comic book is worth $200, but its only actually worth $175. what is the percent error in bills estimate? ?% round to the nearest whole percent.

Explanation:

Step1: Find the absolute error

The absolute error is the absolute value of the difference between the estimated value and the actual value. So, \( |200 - 175| = 25 \).

Step2: Calculate percent error

The formula for percent error is \( \frac{\text{Absolute Error}}{\text{Actual Value}} \times 100\% \). Substituting the values, we get \( \frac{25}{175} \times 100\% \).

Step3: Simplify the expression

\( \frac{25}{175}=\frac{1}{7}\approx0.1429 \), then \( 0.1429\times 100\% = 14.29\% \).

Step4: Round to nearest whole percent

Rounding \( 14.29\% \) to the nearest whole percent gives \( 14\% \).

Answer:

14