Question

clark estimates that the tree in his front yard is 38 feet tall, but its actually 41 feet tall. what is the percent error in clarks 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, \( |38 - 41| = | - 3| = 3 \).

Step2: Calculate the percent error

The formula for percent error is \( \text{Percent Error} = \frac{\text{Absolute Error}}{\text{Actual Value}} \times 100\% \). Substituting the values, we get \( \frac{3}{41} \times 100\% \approx 7.317\% \).

Step3: Round to the nearest whole percent

Rounding \( 7.317\% \) to the nearest whole percent gives \( 7\% \).

Answer:

\( 7\% \)