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Question 537352: Janelle works two part time jobs. One pays $9 per hour, and the other pays $18 per hour. Next week she wants to earn at least $270 and can work at most 25 hours. She can only be scheduled for a maximum of 15 hours at the $18-per-hour-job. Write and graph a system of inequalities to represent this situation. List at least one possible solution from the solution set. Show or explain your work.
Please help! Thanks!
Answer by stanbon(75887)   (Show Source):
You can put this solution on YOUR website! Janelle works two part time jobs.
One pays $9 per hour, and the other pays $18 per hour.
Next week she wants to earn at least $270 and can work at most 25 hours.
She can only be scheduled for a maximum of 15 hours at the $18-per-hour-job.
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Write and graph a system of inequalities to represent this situation.
Let x be number of hrs at $9 per hr
Let y be number of hrs at $18 per hr
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0<= x <=25
0<= y <= 25
Comment: These determine the restricted graphing area.
Draw a vertical line at x = 25
Draw a horizontal line at y = 25
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Hrs. worked: x + y <= 25
Earnings:::: 9x + 18y >= 270
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Solve each for "y":
y <= -x+25
Graph the boundary line and shade below it in the restricted graphing area.
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y >= (-1/2)x + 15
Graph the boundary line and shade above it in the restricted graphiing area.
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Ans: Find a point in the restricted area in the intersection
of the shaded areas.
Example: (10,14)
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List at least one possible solution from the solution set. Show or explain your work.
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Cheers,
Stan H.
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