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

21%
21%

0.21%
0.21%

−21%
negative 21 percent

25%

Answer 1

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

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

Here, Simon's estimated weight is \(6.5\) pounds, and the actual weight is \(8.25\) pounds.

1. First, we find the absolute error: \[ |\text{Estimated Value} - \text{Actual Value}| = |6.5 - 8.25| = | -1.75 | = 1.75 \]

2. Next, we calculate the percent error: \[ \text{Percent Error} = \left( \frac{1.75}{8.25} \right) \times 100 \]

   Calculate \( \frac{1.75}{8.25} \): \[ \frac{1.75}{8.25} \approx 0.2121 \]

3. Now, multiply by 100 to get the percent: \[ 0.2121 \times 100 \approx 21.21% \]

Therefore, rounding to the nearest whole number, the percent error of Simon's estimate is approximately \(21%\).

Final Answer: 21%