To calculate the percent error of Simon's estimate, we can use the 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 for the baby is \(6.5\) pounds, and the actual weight of the baby at birth is \(8.25\) pounds.
- Calculate the difference between the estimated and actual values:
\[ \text{Difference} = \text{Estimated Value} - \text{Actual Value} = 6.5 - 8.25 = -1.75 \]
- Calculate the percent error:
\[ \text{Percent Error} = \left( \frac{-1.75}{8.25} \right) \times 100 \]
Calculating the fraction:
\[ \frac{-1.75}{8.25} \approx -0.2121 \]
Now, multiplying by \(100\):
\[ \text{Percent Error} \approx -21.21% \]
So, rounding this to the nearest whole percentage:
\[ \text{Percent Error} \approx -21% \]
Thus, the correct answer for the percent error in Simon's estimate is \(-21%\), which corresponds to option c) -21%.