A zookeeper predicted the weight of a new baby elephant to be 272 pounds when it was born. The elephant actually weighed 304 pounds at birth. What was the percent error of the zookeeper's prediction?

A.
32%
B.
10.53%
C.
11.76%
D.
89.47%

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

To calculate the percent error, you can use the formula:

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

In this case:

  • Actual Value (weight of the baby elephant) = 304 pounds
  • Predicted Value (weight predicted by the zookeeper) = 272 pounds

Now plug in the values:

\[ \text{Percent Error} = \left( \frac{304 - 272}{304} \right) \times 100 \]

\[ = \left( \frac{32}{304} \right) \times 100 \]

Now calculate:

\[ \frac{32}{304} \approx 0.105263 \]

Then multiply by 100 to get the percentage:

\[ 0.105263 \times 100 \approx 10.53% \]

Thus, the percent error of the zookeeper’s prediction is approximately 10.53%.

The answer is B. 10.53%.