To determine how many hours Maria still needs to spend to complete her community service program, we start with the total hours required and subtract the hours she has already completed.
- Total hours required: \(5 \frac{1}{2}\) hours = \(5.5\) hours
- Hours already spent: \(3 \frac{3}{4}\) hours = \(3.75\) hours
The equation to find the remaining hours \(h\) can be set up as follows:
\[ h + 3.75 = 5.5 \]
Now, rearranging this equation gives us:
\[ h = 5.5 - 3.75 \]
Since we want the equation that reflects the remaining hours, it can also be represented as:
\[ h - 3 \frac{3}{4} = 5 \frac{1}{2} \]
So the correct response is:
h minus 3 and three-fourths equals 5 and one-half.