Answer to Question #151969 in Algebra for Rhonda

Question

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

Answer 1

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

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

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

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

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

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

$$y=\dfrac{1}{2}x, x\geq0$$