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:
1. Maria has a base fee of $10.
2. 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: \( 10 + 15h = 160 \)**.