Zack hires a plumbing company to come repair his kitchen pipes. They charge him $45.99 per hour plus a service call of $135. Write an equation to represent this scenario, if x, represents the number of hours the plumber is at Zack’s house and y represents the total cost

1 answer

To represent the scenario mathematically, we can create an equation based on the information provided:

The total cost \( y \) includes two components:

  1. A service call fee of $135.
  2. A charge of $45.99 per hour for \( x \) hours of service.

The equation can be written as:

\[ y = 45.99x + 135 \]

In this equation:

  • \( y \) is the total cost,
  • \( x \) is the number of hours the plumber is at Zack's house,
  • \( 45.99x \) represents the cost for the hours worked,
  • and \( 135 \) is the fixed service call fee.