A zookeeper predicted the weight of a new baby elephant to be 227 pounds when it was born. The elephant actually weighed 259 pounds at birth. What was the percent error of the zookeeper's prediction?

A.
14.10%
B.
32%
C.
87.64%
D.
12.36%

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

To calculate the percent error of the zookeeper's prediction, we can use the formula:

\[ \text{Percent Error} = \left( \frac{|\text{Actual Value} - \text{Predicted Value}|}{\text{Actual Value}} \right) \times 100% \]

In this case, the actual weight of the baby elephant is 259 pounds, and the predicted weight is 227 pounds.

First, we find the absolute error:

\[ |\text{Actual Value} - \text{Predicted Value}| = |259 - 227| = 32 \text{ pounds} \]

Next, we plug this into the percent error formula:

\[ \text{Percent Error} = \left( \frac{32}{259} \right) \times 100% \]

Calculating the fraction:

\[ \frac{32}{259} \approx 0.1236 \]

Now, multiplying by 100 to get the percentage:

\[ 0.1236 \times 100 \approx 12.36% \]

Therefore, the percent error of the zookeeper's prediction is D. 12.36%.