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

a 75h = 210
b 45h + 30 = 210
c 30h + 45 = 210
d 45h - 30 = 210

Answer 1

To find the equation that determines how many hours of work are included in a $210 bill for a consultation, we need to consider both components of the consultant's charges: the hourly rate and the flat consulting fee.

The consultant charges:

• $45 for each hour worked (let's denote the number of hours as \( h \))
• Plus a flat fee of $30.

The total charge for a consultation can be expressed with the equation: \[ 45h + 30 = \text{Total Bill} \]

In this case, since the total bill is $210, we can set up the equation as follows: \[ 45h + 30 = 210 \]

So the correct choice is: b) 45h + 30 = 210.