Answer:
[tex]y = \frac{1}{4}x[/tex]
x y
4 1
8 2
12 3
16 4
Step-by-step explanation:
Angie makes a spicy salsa by adding red pepper flakes to a chunky tomato mix in proportional amounts. For example, she mixes [tex]\frac{1}{2}[/tex] teaspoon of red pepper flakes to 2 cups of tomato mix.
So, the amount of tomato mix in cups is the independent variable represented by x and the amount of red pepper flakes in teaspoon is the dependent variable represented by y and the relation between them is given by y = kx, as the relation is proportional.
Now, putting x = 2 and y = [tex]\frac{1}{2}[/tex], we get
[tex]\frac{1}{2} = 2k[/tex]
⇒ k = [tex]\frac{1}{4}[/tex]
Therefore, the equation is [tex]y = \frac{1}{4}x[/tex] (Answer)
Now, in table the relation will be given by
x y
4 1
8 2
12 3
16 4 (Answer)
