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The weekly salary of an hourly employee depends on the number of hours worked.Employers are required to pay time and a half if an employee works over 40 hours per week.Suppose an employer refuses to pay time and a half and time cards are recorded in half-hour increments.
(a)Write a function s(h)for the weekly salary if a person's hourly pay is $12.25 and the number of hours worked is h.
(b)What is the domain of this function out of context?
(c)What is the domain of this function in the given context?
(d)Find s(t),s(t - 5),and s(t - 7).
(e)What happens to the salary if the work time decreases by a constant m? Describe using an equation.
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