Simon is expecting a new baby sister. Simon predicts the baby will weigh 6 and one-half pounds at birth. Calculate the percent error of Simon's estimate if the baby's weight at birth is 8 and one-quarter pounds.(1 point)

Question

Responses

0.21%
0.21%

25%
25%

−21%
negative 21 percent

21%

Answer 1

To calculate the percent error of Simon's estimate, you can use the following formula:

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

In this case, Simon's estimated weight (6.5 pounds) and the actual weight (8.25 pounds) can be substituted into the formula:

1. First, determine the difference between the estimated and actual weights:

\[ \text{Difference} = \text{Estimated Value} - \text{Actual Value} = 6.5 - 8.25 = -1.75 \]

2. Now, plug the values into the formula:

\[ \text{Percent Error} = \left( \frac{-1.75}{8.25} \right) \times 100% \]

3. Calculate the fraction:

\[ \frac{-1.75}{8.25} \approx -0.2121 \]

4. Finally, multiply by 100% to get the percent error:

\[ \text{Percent Error} \approx -0.2121 \times 100% \approx -21.21% \]

Since we round to two decimal places, we can say:

\[ \text{Percent Error} \approx -21% \]

Therefore, the percent error of Simon's estimate is approximately −21%.

The correct response is −21%.