To calculate Jill's percentage of error in her estimation, you can use the following formula:
\[ \text{Percentage of Error} = \left( \frac{\text{Estimated Value} - \text{Actual Value}}{\text{Actual Value}} \right) \times 100 \]
In this case:
- Estimated Value = 18 ft
- Actual Value = 15 ft
First, calculate the difference between the estimated value and the actual value:
\[ \text{Difference} = 18 , \text{ft} - 15 , \text{ft} = 3 , \text{ft} \]
Now, plug the values into the formula:
\[ \text{Percentage of Error} = \left( \frac{3 , \text{ft}}{15 , \text{ft}} \right) \times 100 \]
Calculating this gives:
\[ \text{Percentage of Error} = \left( 0.2 \right) \times 100 = 20% \]
Thus, Jill's percentage of error is 20.0% (to the nearest tenth).
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