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

#5. 75h = 210
45h + 30 = 210
30h + 45 = 210
45h - 30 = 210

Answer 1

To find an equation that represents the total cost of a consultation, we need to account for both the hourly charge and the flat fee.

The consultant charges $45 for each hour worked, which we can represent as \( 45h \), where \( h \) is the number of hours worked. Additionally, there is a flat consulting fee of $30.

The total cost for the consultation can be expressed as:

\[ \text{Total Cost} = \text{Flat Fee} + \text{Hourly Charge} \]

In this case, the equation can be written as:

\[ 45h + 30 = 210 \]

This means that $210 is the total bill, which includes the flat fee and the cost for the hours worked.

Therefore, the correct equation to use is:

\( 45h + 30 = 210 \).