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: Calculate the error

The error is the absolute - value of the difference between the estimated value and the actual value. Let the estimated value $E = 38$ and the actual value $A=41$. The error $e=\vert A - E\vert=\vert41 - 38\vert = 3$.

Step2: Calculate the percent error formula

The percent error formula is $\text{Percent Error}=\frac{e}{A}\times100\%$. Substitute $e = 3$ and $A = 41$ into the formula: $\text{Percent Error}=\frac{3}{41}\times100\%$.

Step3: Calculate the result

$\frac{3}{41}\times100\%=\frac{300}{41}\% \approx 7.32\%$. Rounding to the nearest whole percent gives $7\%$.

Answer:

$7$