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%
21%

−21%

Answer 1

To find the percent error of Simon's estimate, we can use the formula:

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

1. Calculate the Absolute Error:

   • Estimated Weight = 6.5 pounds
   • Actual Weight = 8.25 pounds

   \[ \text{Absolute Error} = |\text{Estimated Weight} - \text{Actual Weight}| = |6.5 - 8.25| = | -1.75 | = 1.75 \text{ pounds} \]

2. Calculate the Percent Error:

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

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

Rounding to two decimal places, the percent error is approximately 21%.

So, the correct response is:

21%