To determine the number of hours \( h \) that Maria still needs to spend to complete her community service program, you can start with the total hours required (5 1/2 hours) and subtract the hours she has already completed (3 3/4 hours).
The equation that represents this situation would be:
\[ h = 5 \frac{1}{2} - 3 \frac{3}{4} \]
So, to express that in equation form with \( h \):
\[ h + 3 \frac{3}{4} = 5 \frac{1}{2} \]
When simplified, the corresponding response from the options you've provided is:
h plus 5 and one-half equals 3 and three-fourths.
So the correct equation option is:
h + 5 1/2 = 3 3/4.
However, in terms of correctly matching the original equation form, it appears that the response set given has a slightly incorrect phrasing. The correct version should state \( h + 3 \frac{3}{4} = 5 \frac{1}{2} \).
The final correct choice implies:
None of the options match accurately, but the correct structure of the equation is implied by the first choice for understanding.