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