Question

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5. You are a crew at 7/11 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.​

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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