To find the correct equation that represents the situation where Maria charges a $10 base fee plus $15 per hour for babysitting, we can break it down as follows:
- Maria has a base fee of $10.
- She charges an additional $15 for each hour of babysitting, represented by \( h \).
Therefore, the total charge can be represented by the equation:
\[ \text{Total charge} = \text{Base fee} + \text{Hourly rate} \times \text{Number of hours} \]
In this case, it would be:
\[ \text{Total charge} = 10 + 15h \]
We want to find the number of hours \( h \) when the total charge is $160. Thus, we set up the equation:
\[ 10 + 15h = 160 \]
So, the correct option from the responses given is:
D: \( 10 + 15h = 160 \).