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 determine the total cost of a consultation based on the hourly charge and the flat fee, we can express the situation with an equation. The consultant charges $45 for each hour worked, denoted as \( h \), and there is also a flat fee of $30.

Therefore, the total cost \( C \) can be represented by the equation: \[ C = 45h + 30 \]

Given that the total bill is $210, we can set the equation equal to 210: \[ 45h + 30 = 210 \]

So the correct equation to find how many hours of work are included in a $210 bill for a consultation would be: 45h + 30 = 210.