Question

the graph represents a mechanics labor costs for a given number of hours of car repair. which statement describes the relationship between labor cost and time for a car repair? 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:

• Analyze each option:
• For the option "All repairs requiring 1 hour or less have the same labor cost": Looking at the graph, from \(x = 0\) to \(x = 1\) (where \(x\) is labor - time in hours), the \(y\) - value (labor cost) is constant at \(y = 50\).
• For the option "Labor costs the same no matter how many hours are used for a repair": The graph shows that after \(x>1\), the labor cost ( \(y\) - value) increases as \(x\) (labor - time) increases. So this is false.
• For the option "Labor costs for a repair are less expensive as the number of hours increases": The graph has a positive slope for \(x > 1\), meaning as \(x\) (hours) increases, \(y\) (labor cost) increases. So this is false.
• For the option "There is no cost of labor for a repair requiring less than 1 hour": When \(x = 0\) (less than 1 hour), \(y=50\) (there is a cost). So this is false.

Answer:

All repairs requiring 1 hour or less have the same labor cost.