Question

1. a mixture of nuts containing 1 cup of walnuts, y, for every 5 cups of peanuts, x. write a linear equation to represent this relationship and then graph the line.

Explanation:

Step1: Identify the relationship

The problem states there is 1 cup of wild rice ($y$) for every 3 cups of brown rice ($x$). So the ratio of $y$ to $x$ is $\frac{1}{3}$, which means the linear equation is $y = \frac{1}{3}x$.

Step2: Find points to graph

When $x = 0$, $y = 0$. When $x = 3$, $y = \frac{1}{3}(3)=1$. So we can plot the points $(0,0)$ and $(3,1)$ and draw a line through them.

Answer:

The linear equation is $y = \frac{1}{3}x$. To graph it, plot the points $(0,0)$ and $(3,1)$ (and other points like $(6,2)$ if needed) and draw a straight line through them.