Question 174662
-Unita likes her job as a baby-sitter, but it pays only $3 per hour. She has been offered a job as a tutor that pays $6 per hour. Because of school, her parents only allow her to work a maximum of 15 hours per week. How many hours can Unita tutor and baby-sit and still make at least $65 per week?
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Let x represent the number of hours Unita can baby-sit each week. Let y represent the number of hours she can tutor each week. Since both x and y represent a number of hours, neither can be a negative number. Thus, x -greater or equal to 0 and y is greater or equal to 0. Then the following systems of inequalities can be used to represent the conditions of this problem.

Earnings Inequality: 3x + 6y >= 65
Rearranging that you get : y >= (-1/2)x + (65/6)
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x >= 0 
y >= 0
The above two inequalities restrict the graph to the 1st quadrant.
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Quantity Inequality: x + y <= 15
Rearranging that you get: y <= -x + 15
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-i regret to tell you i can't send you the picture of the graph. Now my question is, how did they take that information and place it into the graph?
They graphed
 y >= (-1/2)x - (65/6) and
y <= -x+15 
{{{graph(400,300,-5,20,-5,20,(-1/2)x+(65/6),-x+15)}}}
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Cheers,
Stan H.