@bot
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?
Let's denote the number of hours worked by 'h'. The equation that could be used to find the number of hours of work included in a $210 bill for a consultation is:
45h + 30 = 210
To find the number of hours of work included in a $210 bill for a consultation, we can set up an equation using the given information.
Let's assume the number of hours of work is represented by 'h'.
According to the information given, the consultant charges $45 for each hour of work. Therefore, the cost of the work portion of the bill would be 45h.
In addition to the work portion, the flat consulting fee is $30.
The total bill for the consultation is $210.
So, the equation that represents the situation is:
45h + 30 = 210
To find the number of hours of work, we can solve this equation for 'h'.
To find the number of hours of work included in a $210 bill for a consultation, we can set up an equation based on the given information.
Let's assume the number of hours worked is represented by "h."
The consultant charges $45 for each hour, so the total charge for the hours worked would be 45h.
Additionally, there is a flat consulting fee of $30.
Since the total bill is $210, we can set up the equation:
45h + 30 = 210
To solve for "h," we need to isolate the variable.
First, we subtract 30 from both sides of the equation:
45h + 30 - 30 = 210 - 30
This simplifies to:
45h = 180
Next, we divide both sides of the equation by 45 to solve for "h":
45h/45 = 180/45
This simplifies to:
h = 4
Therefore, a $210 bill for a consultation includes 4 hours of work.
The equation used to find the number of hours of work is: 45h + 30 = 210