Sam is paid $50 per room that he paints and he can paint a room in exactly 2 hours. On sunday, sam hopes to make atleast $150 painting rooms and can work for exactly 10 hours. Which of the following sets represents the range of money (m) that sam can make without violating either his monetary or time restriction?
A. m= {150,250}
B. m={0,150}
C. m={0,250}
D. m={100,250}

Answer: A, {150,250}

Step-by-step explanation:

In 10 hours he can do 5x2 hours work.  or 5x$50 = $250 for 5 rooms

$150 is 3x $50 or 3x2 hours work.

He can work 6 hours and make $150

or he can work 10 hours and make $250

the range he can earn so that he makes at least $150 and no more than 10 hours is$150 to $250

($150,$250) in interval notation for working 6 to 10 hours (6,10)

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