Question

the graph represents a mechanics labor costs for a given number of hours for a car repair. which statement best shows the relationship between labor cost and hours for a car repair? car repairs labor cost ($) 250 225 200 175 150 125 100 75 50 25 0 0.25 0.5 0.75 1 1.25 1.5 1.75 2 2.25 2.5 labor time (hours) all repairs requiring 1 hour or less have the same labor cost. labor costs the same no matter how many hours are used for a repair. labor costs for a repair are less expensive as the number of hours increases. there is no cost of labor for a repair requiring less than 1 hour.

Explanation:

Looking at the graph, for labor - time up to 1 hour, the labor cost is a flat $50. After 1 hour, as the labor - time increases, the labor cost increases linearly. This means that labor costs for a repair are less expensive as the number of hours is fewer up to 1 hour.

Answer:

The statement "There is no cost of labor for a repair requiring less than 1 hour" is incorrect as there is a flat cost of $50 for up to 1 hour of labor. The statement "All repairs requiring 1 hour or less have the same labor cost" is correct since for 0 - 1 hour of labor, the cost is $50. The statement "Labor costs for a repair are less expensive as the number of hours decreases" is correct as for labor times less than 1 hour, the cost is a constant $50 and then increases after 1 hour. The statement "Labor costs for a repair are less expensive as the number of hours increases" is incorrect as the cost increases with the number of hours after 1 hour. So the correct statement is: All repairs requiring 1 hour or less have the same labor cost.