SOLUTION: A recycling center pays 2 cents per aluminum can and 5 cents per glass bottle. The equation 2x + 5y = 100 describes the number of cans x and bottles y that you need to earn $1.oo.

Algebra ->  Graphs -> SOLUTION: A recycling center pays 2 cents per aluminum can and 5 cents per glass bottle. The equation 2x + 5y = 100 describes the number of cans x and bottles y that you need to earn $1.oo.       Log On


   



Question 934288: A recycling center pays 2 cents per aluminum can and 5 cents per glass bottle. The equation 2x + 5y = 100 describes the number of cans x and bottles y that you need to earn $1.oo. What is the value of the x and y intercept and what do they represent?
Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
The x intercept is at ( x,0 ) and
the y intercept is a ( 0,y )
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To find the x intercept:
+2x+%2B+5%2A0+=+100+
+2x+=+100+
+x+=+50+
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To find the y intercept:
+2%2A0+%2B+5y+=+100+
+5y+=+100+
+y+=+20+
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the x intercept is the point where you only have
cans and no bottles to make $1
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the y intercept is the point where you only have
bottles and no cans to make $1
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Hee's the plot:
+graph%28+400%2C+400%2C+-10%2C+70%2C+-10%2C+30%2C+-%282%2F5%29%2Ax+%2B+20++%29+