Piecewise function. A house painter charges $12 per hour for the first 40 hours he works, time and a half for the 10 hours after
1 answer:
First 40 hours rate = $12 per hour.
Next 10 hours charge ( Upto 50 hours) = A half of $12 that is $6 per hour.
And after next 10 hours chrges ( More than 50 hours) = 2 times of initial rate, that is 2*12 = $24 per hours.
Let us take variale x for number of hours and f(x) is the function for total earning for x hours.
So, we can setup a piecewise function as
Therefore,
70 hours can be divided into = 40 hours + 10 hours + 20 hours.
Total earning of 70-hour week = 12* 40 hours + 6 * 10 hours + 24*20 hours
= 480 + 60 + 480
= $1020.
Therefore, he earn $1020 for a 70-hour week.
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