Question

He cost of a service call to fix a washing machine can be expressed by the linear function Y - 45x+35, where y represents the total cost and x represents the number of hours it takes to fix the machine. What does the y-intercept represent?

A) the cost for each hour it takes to repair the machine
B) the service fee for coming to look at the machine
C) the total cost for fixing the washing machine
D) the amount of time that it takes to arrive at the home to make the repairs

Answer 1

The y-intercept of the linear function Y = 45x + 35 represents the service fee for examining the washing machine, which is a fixed cost incurred before any repair work is performed.

Step-by-step explanation:

The cost of a service call to fix a washing machine can be expressed by the linear function Y = 45x + 35, where Y represents the total cost and x represents the number of hours it takes to fix the machine. The y-intercept in this context is the value of Y when x is 0, which would equate to the initial call-out charge or the service fee before any labor work is actually done. Therefore, the y-intercept, which is 35 in this equation, represents the service fee for coming to look at the machine, as it is the cost incurred regardless of the work done (option B).