Answer:
[tex]y=2x[/tex]
Step-by-step explanation:
Here we are given that for every 2 cups of water , Jada is mixing up 4 cups of Apple Juice. Hence it makes a patter which look like this as given under in a tabular format
x y
2 4
6 12
10 20
We are required to find the equation of the relation that exit between this pattern. Assuming them to be the coordinates , we will apply the two point form and find the equation.
Two point form is
[tex]\frac{y-y_1}{x-x_1}=\frac{y_2-y_1}{x_2-x_1}[/tex] -----------------(A)
Where
[tex](x_1,y_1)=(2,4)[/tex]
[tex](x_2,y_2)=(6,12)[/tex]
Putting these values in A and solving
[tex]\frac{y-4}{x-2}=\frac{12-4}{6-2}[/tex]
[tex]\frac{y-4}{x-2}=\frac{8}{4}[/tex]
[tex]\frac{y-4}{x-2}=2[/tex]
[tex]y-4=2(x-2)[/tex]
[tex]y-4=2x-4[/tex]
adding 4 on both sides
[tex]y=2x[/tex]
