At D-Luxe Detailing, teams of employees carefully wash and detail customers' cars. The function f(x) gives the total number of hours they spend servicing x cars. What does f(5)

Question

At D-Luxe Detailing, teams of employees carefully wash and detail customers' cars. The function f(x) gives the total number of hours they spend servicing x cars. What does f(5) < 5 tell you?   Choices: (A)In 5 hours, the employees service fewer than 5 cars. (B)The employees service 5 cars in under 5 hours.

Bytelearn · Accepted Answer

Interpret Function: To understand what f(5) < 5 means, we need to interpret the function f(x) in the context of the problem. The function f(x) gives the total number of hours spent servicing x cars. When we input 5 into the function (f(5)), we are looking at the total number of hours spent servicing 5 cars. The inequality f(5) < 5 tells us that the number of hours spent servicing 5 cars is less than 5 hours.Analyze Choices: Now, we need to match this interpretation with the given choices to determine which one correctly describes the situation. Choice (A) suggests that in 5 hours, fewer than 5 cars are serviced, which would mean f(5) > 5 if 5 represented the number of hours. This does not match our inequality. Choice (B) suggests that 5 cars are serviced in under 5 hours, which aligns with our inequality f(5) < 5. Therefore, choice (B) is the correct interpretation of the inequality.

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