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 represent the number of hours of work as "x".
The consultant charges $45 for each hour of work. So, the total charges for the hours of work would be 45x.
In addition, the consultant charges a flat fee of $30.
Therefore, the equation to find the number of hours of work included in a $210 bill for a consultation is:
45x + $30 = $210
Let's assume the number of hours the consultant works is represented by 'x'.
According to the information given, the consultant charges $45 per hour of work and an additional $30 as a consulting fee.
Therefore, the total cost of the consultation can be represented by the equation:
45x + 30 = 210
Here, 45x represents the cost for the hours worked, and the 30 represents the consulting fee. The sum of these two amounts should equal the total cost of $210.
To find out how many hours of work are included in a $210 bill for a consultation, we can set up an equation.
Let's denote the number of hours of work as "x".
According to the given information, the consultant charges $45 for each hour of work and there is also a flat $30 consulting fee. So, the equation would be:
45x + 30 = 210
Here, 45x represents the total cost for the hours of work (45 dollars per hour), and the $30 is the flat consulting fee. The sum of these two amounts should equal $210, which is the total bill for the consultation.
To solve this equation, we can isolate the variable x:
45x + 30 - 30 = 210 - 30
45x = 180
Next, we divide both sides of the equation by 45:
45x/45 = 180/45
x = 4
Therefore, the equation 45x + 30 = 210 can be used to find that 4 hours of work are included in a $210 bill for the consultation.