Lydia is working at a supermarket. Her weekly pay is modeled by the piecewise function S(h) = (8,0 12h -160, h > 40 where S represents her
salary, in dollars, and h represents the number of hours worked per week.
a. Lydia worked 36 hours through Friday. Deborah asked her to cover her shift on Saturday, which was nine hours long. How much more
money will Lydia earn by working 45 hours for the week, rather than 36 hours?
b. Lydia needs to earn $500 next week in order to pay her rent. How many hours would she have to work in order to earn $500?