To formulate the equation for the situation described, we can start by identifying the components of the bill.
The consultant charges $45 for each hour worked, so if \( h \) represents the number of hours worked, the charge for the hours is \( 45h \).
Additionally, there is a flat consulting fee of $30.
Therefore, the total charge for the consultation can be expressed as:
\[ \text{Total charge} = \text{Charge for hours} + \text{Flat fee} \]
This translates to:
\[ \text{Total charge} = 45h + 30 \]
We want to find the number of hours \( h \) when the total bill is $210. So we can set up the equation as follows:
\[ 45h + 30 = 210 \]
This equation can be used to find how many hours of work are included in the $210 bill for a consultation.