To calculate the percent error of Simon's estimate for his baby brother's weight, you can use the following formula:
\[ \text{Percent Error} = \left( \frac{|\text{Estimated Value} - \text{Actual Value}|}{\text{Actual Value}} \right) \times 100 \]
In this case:
- Estimated Value = 6.5 lbs
- Actual Value = 8.25 lbs
Now, plug in the numbers:
\[ \text{Percent Error} = \left( \frac{|6.5 - 8.25|}{8.25} \right) \times 100 \]
Calculate the absolute difference:
\[ |6.5 - 8.25| = | -1.75 | = 1.75 \]
Now, substitute this value back into the formula:
\[ \text{Percent Error} = \left( \frac{1.75}{8.25} \right) \times 100 \]
Now, calculate the fraction:
\[ \frac{1.75}{8.25} \approx 0.2121 \]
Finally, multiply by 100 to find the percent error:
\[ \text{Percent Error} \approx 0.2121 \times 100 \approx 21.21% \]
Thus, the percent error of Simon’s estimate is approximately 21.21%.
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