Question

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

Answer 1

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.