To calculate the percent error of Martha's estimation, we can use the formula for percent error:
\[ \text{Percent Error} = \left( \frac{|\text{Estimated Value} - \text{Actual Value}|}{\text{Actual Value}} \right) \times 100 \]
Where:
- Estimated Value = 96 (Martha's estimate)
- Actual Value = 118 (actual number of marbles)
Plugging in the values:
\[ \text{Percent Error} = \left( \frac{|96 - 118|}{118} \right) \times 100 \]
Calculating the absolute difference:
\[ |96 - 118| = 22 \]
Now substituting back into the formula:
\[ \text{Percent Error} = \left( \frac{22}{118} \right) \times 100 \]
Calculating the fraction:
\[ \frac{22}{118} \approx 0.1864 \]
Now, converting this to a percentage:
\[ 0.1864 \times 100 \approx 18.64% \]
Thus, the percent error of Martha's estimation is:
C. 18.64%