4. Jill estimated a room to be 18ft tall. It was actually only 15 ft tall. What is her percentage of error? (tenth)

Answer 1

To calculate the percentage of error, 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

Now, plug the values into the formula:

\[ \text{Percentage of Error} = \left( \frac{|18 - 15|}{15} \right) \times 100 \]

Calculate the absolute error:

\[ |18 - 15| = 3 \]

Now substitute this value back into the formula:

\[ \text{Percentage of Error} = \left( \frac{3}{15} \right) \times 100 \]

Calculate the fraction:

\[ \frac{3}{15} = 0.2 \]

Now multiply by 100 to get the percentage:

\[ 0.2 \times 100 = 20 \]

Therefore, Jill's percentage of error is 20.0%.