A consultant charges $45 for each hour she works on a consultation, plus a flat $30 consulting fee. Which equation could be used to find how many hours of work are included in a $210 bill for a consultation?

Question

75h=210
45h+30=210
30h+45=210
45h-30=210

Answer 1

To determine how many hours of work are included in a $210 bill from the consultant, we can set up the equation based on her pricing structure.

The consultant charges $45 per hour for her work, and there is a flat consulting fee of $30. Therefore, the total cost can be represented by the equation:

\[ \text{Total Cost} = \text{Hourly Rate} \times \text{Number of Hours} + \text{Flat Fee} \]

In this case, if \( h \) is the number of hours, the equation would be:

\[ 45h + 30 = 210 \]

Now, we can check the provided options:

1. \( 75h = 210 \)
2. \( 45h + 30 = 210 \)
3. \( 30h + 45 = 210 \)
4. \( 45h - 30 = 210 \)

The correct equation to use is the second one:

\[ \boxed{45h + 30 = 210} \]