A consultant charges $45 for each hour she works on a consultation, plus a flat $30 consulting fee. How many hours of work are included in a $210 bill for a consultation?
Let x be the number of hours worked.
The total cost of the consultation is 45x + 30 = 210.
45x = 210 - 30
45x = 180
x = 180/45
x = <<4=4>>4 hours. Answer: \boxed{4}.
To determine the number of hours of work included in a $210 bill for a consultation, we need to subtract the flat consulting fee of $30 from the total bill and then divide the remaining amount by the hourly rate of $45.
Step 1: Subtract the flat consulting fee from the total bill: $210 - $30 = $180.
Step 2: Divide the remaining amount by the hourly rate: $180 ÷ $45 = 4.
Therefore, there are 4 hours of work included in a $210 bill for a consultation.
To find out how many hours of work are included in a $210 bill for a consultation, we first need to subtract the flat consulting fee of $30 from the total bill amount.
$210 - $30 = $180
This remaining amount represents the total cost of the consultant's hours worked.
Next, we can divide this amount by the consultant's hourly rate to find the number of hours worked.
$180 ÷ $45 = 4
Therefore, there are 4 hours of work included in a $210 bill for a consultation.