An accountant charges a fee of $150 to complete a company's taxes. The accountant also charges an additional $25 per hour to complete the taxes. Which of the following equations can be used to describe this problem?

Question

y = 150 − 25x
y = 150 + 25x
y = 25 − 150x
y = 25 + 150x

Answer 1

To describe the accountant's fee structure, we need to account for both the flat fee and the hourly rate.

• The accountant charges a flat fee of $150.
• In addition to this flat fee, there is a charge of $25 for each hour worked on completing the taxes.

Let \( x \) be the number of hours worked, and \( y \) be the total fee charged.

The total fee can be expressed with the following equation: \[ y = 150 + 25x \]

This equation indicates that the total fee \( y \) is equal to the initial flat fee of $150 plus $25 multiplied by the number of hours \( x \) worked.

So, the correct answer is: \( y = 150 + 25x \).