Question

the graph represents a mechanics labor costs for a particular 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 first option, from the graph, when labor time is \(1\) hour or less, labor cost is \(50\). So all repairs requiring \(1\) hour or less have the same labor cost.
• The second option is wrong because labor cost changes with the increase of labor time (after \(1\) hour).
• The third option is wrong as labor cost is constant for \(t\leq1\) (where \(t\) is labor time in hours).
• The fourth option is wrong as labor cost is \(50\) for \(t < 1\).

Answer:

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