Question

if you were hired for a summer job that pays time and half for overtime. That is, if you work more than 40 hours per week, your hourly wage for extra hours is 1.5 times your normal hourly wage of P30.00. Write the piecewise function that gives your weekly​

Answer 1

Given :- You are a crew at a Convenience store that pays an hourly wage P30.00 and 1.5 times the hours wage for the extra hours if you work for more than 40 hours a week. Write a piecewise function that gives the weekly pay P in term of the number of hours h your work.

Solution :-

given that,

→ wages for 1 hours = P30

So,

we can say that, wages for 40 hours, = 30 * 40 = 1200 .

Therefore,

→ Total wages of week is = P1200.

Piecewise function is :-

P(h) = 1200 , where h ≤ 40.

Now, we have given that, store gives 1.5 times the hours wage for the extra hours if you work for more than

40 hours a week.

So,

→ wages per hour now = 1.5 * 30 = P45 .

Therefore,

→ Total wages of week = 1200 + 45(h - 40) = 1200 + 45h - 1800 = P(45h - 600).

and,

Piecewise function that gives the weekly pay P in

term of the number of hours h your work is :-

P(h) = 1200 + 45(h - 40) where h > 40.

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