17. In many cases, a worker's hourly wage depends on the number of hours worked. If...

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17. In many cases, a worker's hourly wage depends on the number of hours worked. If a certain number of hours is reached, the pay rate beyond that point increases. When working beyond a certain number of hours, some employees earn time-and-a- half, or 1.5 times their regular pay, for the remaining hours. This type of arrangement is shown in the following graph of pay vs time. Total Weekly Pay (S) 2000 1500 1000 600 10 Pay vs.Time 40 50 60 B Time at Work (hours) a) At what point does the rate of change increase? b) Calculate the rate of change on either side of the point from part a). Show your work and include units. c) Use your answers from parts a) and b) to describe this worker's pay structure in terms of hourly pay, and when the hourly pay changes. [5 marks] 17. In many cases, a worker's hourly wage depends on the number of hours worked. If a certain number of hours is reached, the pay rate beyond that point increases. When working beyond a certain number of hours, some employees earn time-and-a- half, or 1.5 times their regular pay, for the remaining hours. This type of arrangement is shown in the following graph of pay vs time. Total Weekly Pay (S) 2000 1500 1000 600 10 Pay vs.Time 40 50 60 B Time at Work (hours) a) At what point does the rate of change increase? b) Calculate the rate of change on either side of the point from part a). Show your work and include units. c) Use your answers from parts a) and b) to describe this worker's pay structure in terms of hourly pay, and when the hourly pay changes. [5 marks]