Answer to Question #151969 in Algebra for Rhonda

Question #151969
A recipe for trail mix calls for 1 cup of raisins for every 2 cups of granola. Write an equation that describes the relationship between raisins and granola. Then graph the linr
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Expert's answer
2020-12-20T18:51:37-0500

Let x=x= the number of cups of granola and y=y= the number of cups of raisins.

At the beginning we have x=0x=0 cups of granola and y=0y=0 cups of raisins.

We have the direct proportion y=mx,x0.y=mx, x\geq0.

Given that a recipe calls for y=1y=1 cup of raisins for every x=2x=2 cups of granola


1=m(2)=>m=121=m(2)=>m=\dfrac{1}{2}

The equation that describes the relationship between raisins (y)(y) and granola (x)(x) is


y=12x,x0y=\dfrac{1}{2}x, x\geq0



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