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%

21%
21%

−21%
negative 21 percent

25%

Answer 1

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

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

In this case:

• Estimated Value = 6.5 pounds
• Actual Value = 8.25 pounds

Now, substitute these values into the formula:

\[ \text{Percent Error} = \left( \frac{|6.5 - 8.25|}{8.25} \right) \times 100 \]

Calculate the absolute difference:

\[ |6.5 - 8.25| = | -1.75 | = 1.75 \]

Now plug this into the percent error formula:

\[ \text{Percent Error} = \left( \frac{1.75}{8.25} \right) \times 100 \approx 21.21% \]

Rounding to two decimal places:

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

Therefore, the correct answer is:

21%