Question

(1 point)
what are the slope and the y - intercept of the function? what do the slope and the y - intercept
mean in relation to ruthies car repair?
the slope of the function is 75, which means that the labor charge is $75 for each hour it takes to
repair ruthies car. the y - intercept is 50, which means that there is a one - time fee of $50, which
could be the amount for a part needed to repair ruthies car or a fee charged to look at the car to
determine what repairs are needed.
the slope of the function is 50, which means that the labor takes 50 hours to repair ruthies car.
the y - intercept is 75, which means that the garage will charge $75 for each hour it takes to repair
ruthies car.
the slope of the function is 50, which means that the labor charge is $50 for each hour it takes to
repair ruthies car. the y - intercept is 75, which means that there is a one - time fee of $75, which
could be the amount for a part needed to repair ruthies car or a fee charged to look at the car to
determine what repairs are needed.
the slope of the function is 75, which means that the labor takes 75 hours to repair ruthies
car. the y - intercept is 50, which means that the garage will charge $50 for each hour it takes to
repair ruthies car.

Explanation:

Step1: Recall the linear function formula

The linear function is \(y = mx + b\), where \(m\) is the slope (rate of change) and \(b\) is the \(y -\)intercept (initial value).

Step2: Analyze slope and \(y -\)intercept in the context

In the context of a car repair cost function \(y\) (total cost) in terms of \(x\) (hours of labor), the slope \(m\) represents the cost per hour (labor charge per hour). The \(y -\)intercept \(b\) represents the one - time fee (a fixed amount that does not depend on the number of hours of labor).

Answer:

The slope means the labor charge is \(\$75\) for each hour it takes to repair Ruthie's car. The \(y -\)intercept means that there is a one - time fee of \(\$50\), which could be the amount for a part needed to repair Ruthie's car.