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 \(x = 1\), as \(x\) increases, \(y\) (labor cost) also increases. So this is incorrect.
• For the option "Labor costs for a repair are less expensive as the number of hours increases": The slope of the line for \(x>1\) is positive (\(y\) increases as \(x\) increases), so labor costs are more expensive as the number of hours increases. This is incorrect.
• For the option "There is no cost of labor for a repair requiring less than 1 hour": The \(y\) - value (labor cost) is \(50\) for \(0\leq x\leq1\), so there is a cost. This is incorrect.

Answer:

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