Question

Ruthie needs to get her car fixed at a car repair shop. The relationship between time in hours it will take for a car repair and the labor charges in dollars is shown on the graph below.



What are the slope and the y-intercept of the function? What do the slope and the y-intercept mean in relation to Ruthie’s car repair?

(1 point)
Responses

The slope of the function is 75, which means that the labor charge is $75 for each hour it takes to repair Ruthie's 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 Ruthie’s 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 charge is $75 for each hour it takes to repair Ruthie's 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 Ruthie’s 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 Ruthie's car. The y-intercept is 75, which means that the garage will charge $75 for each hour it takes to repair Ruthie's car.
The slope of the function is 50, which means that the labor takes 50 hours to repair Ruthie's car. The y-intercept is 75, which means that the garage will charge $75 for each hour it takes to repair Ruthie's car.

The slope of the function is 75, which means that the labor takes 75 hours to repair Ruthie's car. The y-intercept is 50, which means that the garage will charge $50 for each hour it takes to repair Ruthie’s car.
The slope of the function is 75, which means that the labor takes 75 hours to repair Ruthie's car. The y-intercept is 50, which means that the garage will charge $50 for each hour it takes to repair Ruthie’s car.

The slope of the function is 50, which means that the labor charge is $50 for each hour it takes to repair Ruthie's 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 Ruthie’s car or a fee charged to look at the car to determine what repairs are needed.

Answer 1

I can’t see the graph — can you either upload it or tell me two points on the line (for example the y-intercept and one other point)?

How to decide yourself:
- The y‑intercept is the dollar amount at 0 hours (the point where the line crosses the y‑axis). That is the one‑time fee.
- The slope = (change in dollars)/(change in hours) = (y2 − y1)/(x2 − x1). That gives the hourly labor charge (dollars per hour).

Examples:
- If the line goes through (0, 50) and (1, 125), slope = (125 − 50)/(1 − 0) = 75 and y‑intercept = 50 → choose the answer that says slope = 75 ($75 per hour) and y‑intercept = $50 (one‑time fee).
- If the line goes through (0, 75) and (1, 125), slope = (125 − 75)/(1 − 0) = 50 and y‑intercept = 75 → choose the answer that says slope = 50 ($50 per hour) and y‑intercept = $75 (one‑time fee).

Tell me two points or upload the graph and I’ll pick the correct choice.