Question

Grace estimates that the height of a giraffe in a zoo is 18 Fate In fact it is 16 ft tall what is Teresa's percent error use proportional relationships to solve the problem be sure to show all your work provide your answer as a percentage and round your answers to the nearest ten

Answer 1

To calculate the percent error in Grace's estimate of the giraffe's height, we 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 = 18 ft
- Actual Value = 16 ft

Now, plug the values into the formula:

\[
\text{Percent Error} = \left( \frac{18 - 16}{16} \right) \times 100
\]

Calculating the numerator:

\[
18 - 16 = 2
\]

Now substitute back into the percent error formula:

\[
\text{Percent Error} = \left( \frac{2}{16} \right) \times 100
\]

Calculating the fraction:

\[
\frac{2}{16} = 0.125
\]

Now, multiply by 100 to find the percent error:

\[
\text{Percent Error} = 0.125 \times 100 = 12.5
\]

Finally, rounding to the nearest ten gives us:

\[
\text{Percent Error} \approx 10\%
\]

So, Grace's percent error is approximately **10%**.