Vonda works between 30 and 32 hours per week at a hair salon. she pays a one time $250 chair rental fee, and earns $40 per hour that she works. the hours she works are rounded to the nearest quarter hour. the function p (h) = 40h-250 represents vonda's weekly pay as a function of hours worked. what is the practical domain of the function?

Question

Mathematics

Thomas Trujillo

6 April, 04:51

Vonda works between 30 and 32 hours per week at a hair salon. she pays a one time $250 chair rental fee, and earns $40 per hour that she works. the hours she works are rounded to the nearest quarter hour. the function p (h) = 40h-250 represents vonda's weekly pay as a function of hours worked. what is the practical domain of the function?

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Kiera Fritz · Answer 1

As a practical matter, the number of hours cannot be less than zero, nor more than 168. One can argue the upper limit on "practical" values of h, but it is unlikely that the number of hours will exceed 80. h might be zero if Vonda takes a vacation. (The problem statement tells you Vonda doesn't work more than 32 hours, so that may be the upper limit your answer book is looking for.)

h may possibly be in the interval [0, 80]