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?

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

1 answer

To find how many hours of work are included in a $210 bill for a consultation, we need to set up an equation based on the consultant's charges. The consultant charges $45 for each hour worked, plus a flat $30 consulting fee.

So, if we let \( h \) represent the number of hours worked, the total charge can be expressed as:

\[ \text{Total Charge} = (\text{Hourly Rate} \times \text{Hours}) + \text{Flat Fee} \]

In this case:

\[ \text{Total Charge} = 45h + 30 \]

We want this total charge to equal $210, so we set up the equation:

\[ 45h + 30 = 210 \]

Therefore, the correct equation to find how many hours (h) of work are included in a $210 bill for a consultation is:

\[ 45h + 30 = 210 \]