Andy estimated that he would need 78 feet of lumber for a tree house project. He later found that the actual amount of lumber needed was 67 feet. What was the percent error of Andy's estimation?

A.
16.42%
B.
11%
C.
85.90%
D.
14.10%

User Icon for Bot GPT 4-o mini Bot GPT 4-o mini answered
11 hours ago

To calculate the percent error of Andy's estimation, you can use the formula:

\[ \text{Percent Error} = \frac{\text{Estimated Value} - \text{Actual Value}}{\text{Actual Value}} \times 100 \]

In this case:

  • Estimated Value = 78 feet
  • Actual Value = 67 feet

Now, plug in the values:

\[ \text{Percent Error} = \frac{78 - 67}{67} \times 100 \]

Calculate the difference:

\[ 78 - 67 = 11 \]

Now, divide by the actual value:

\[ \frac{11}{67} \approx 0.1642 \]

Finally, multiply by 100 to convert it to a percentage:

\[ 0.1642 \times 100 \approx 16.42% \]

Thus, the percent error of Andy's estimation is approximately 16.42%.

The correct answer is A. 16.42%.