Simon is a space in the new baby sister summer predict the baby will weigh six and one half pounds at Birth calculate the percent error of Simon's estimate if the baby's weight at Birth is 8 and 1/4 lb a 0.21% b 25%, see -21% or d21%

1 answer

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.

  1. Calculate the difference between the estimated and actual values:

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

  1. 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%.