You have a summer job that pays time and a half for overtime. That is, if you work more than $40$ hours per week, your hourly wage for the extra hours is $1.5$ times your normal hourly wage of 7 $. W r i t e a p i e c e w i s e f u n c t i o n t h a t g i v e s y o u r w e e k l y p a y$ P $i n t e r m s o f t h e n u m b e r$ h $o f h o u r s y o u w o r k . H o w m u c h w i l l y o u g e t p a i d i f y o u w o r k$ 45$ hours?

368.5$

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332.5$

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452.5$

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None of these

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Solution

The correct option is B 332.5P(h)= 7h $f o r$ h\leq40$

$= 10.5 (h - 40) + 280$ for $h > 40$

$P (45) = 10.5 \times 5 + 280 = 52.5 + 280 = 332.5$

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