Studies show that after hours on the job, the number of items a supermarket cashier can scan her minute is given by the function () = 60 − 150 √8+2

1. Studies show that after hours on the job, the number of items a supermarket cashier can scan her minute is given by the function () = 60 − 150 √8+2
a. Find ′().

b. What does ′() represent?

c. At what rate is the cashier’s speed changing after 5 hours? 10 hours?40 hours?

d. Are your answers in part b increasing or decreasing with time? Is this reasonable? Explain. Answer in complete sentences with correct grammar, capitalization, and punctuation.

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