Val is planning to make fruit punch for his birthday sleepover. He needs to add 2 scoops of fruit punch mix for every 8 cups of water. The data table shows the ratios needed. At what ratio does the constant of proportionality appear?

Question

(2, 8) (8, 2) (1, 4) (24, 6)

Answer 1

In the given data table, the only set of values that satisfies the proportionality condition is (2, 8).

If Val wants to make fruit punch with 4 cups of water, he would need to add (4/8) * 2 = 1 scoop of fruit punch mix.

Similarly, if Val wants to make fruit punch with 16 cups of water, he would need to add (16/8) * 2 = 4 scoops of fruit punch mix.

Therefore, the constant of proportionality appears at the ratio (2, 8).