SOLUTION: Jason gets 15 dollars for every hour he works as a photographer. He gets 10 dollars every hour for coaching a soccer team. He wants to work 20 hours or less and wants to make at le

Question 1012763: Jason gets 15 dollars for every hour he works as a photographer. He gets 10 dollars every hour for coaching a soccer team. He wants to work 20 hours or less and wants to make at least 90 dollars. make a system of inequalities and graph.
I understand how to create the inequalities it is just the graphing part. how would you label the x and y axis? Would it be hours and amount earned or hours as photographer and hours as coach?
Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
Jason gets 15 dollars for every hour he works as a photographer. He gets 10 dollars every hour for coaching a soccer team. He wants to work 20 hours or less and wants to make at least 90 dollars. make a system of inequalities and graph.
I understand how to create the inequalities it is just the graphing part. how would you label the x and y axis? Would it be hours and amount earned or hours as photographer and hours as coach?
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Equation:
p + s <= 20 hours
15p + 10s >= 90 dollars
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Using "p" as the dependent variable you would get::
Inequalities::
p <= -s + 20
p >= (-2/3)s + 6
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Graph p = -s + 20 and shade the half-plane below that boundary.
Graph p = (-2/3)s + 6 and shade the half-plane above that boundary.
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Cheers,
Stan H.
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