Question

Simon predicts his baby brother will weigh 6.5 lbs at birth. Calculate the percent error of Simon’s estimate if the baby’s weight at birth is 8.25 lbs

Answer 1

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%**.