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

1 answer

To find how much a consultant charges based on the number of hours she works, you can set up the equation for the total cost \( C \) in terms of the number of hours \( h \) worked.

The consultant charges $45 for each hour worked and has a flat consulting fee of $30.

The equation can be expressed as:

\[ C = 45h + 30 \]

Where:

  • \( C \) is the total cost,
  • \( h \) is the number of hours worked.

If you want to find how many hours she worked for a specific total cost, you can rearrange this equation to solve for \( h \):

\[ h = \frac{C - 30}{45} \]

You can use this equation to determine the number of hours worked based on the total consultation cost.