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

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?
Fruit Punch Mix: 1, 2, 4, 6
Water: 4, 8, 16, 24

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

GPT 3.5 · Answer

The ratio of Fruit Punch Mix to Water is:

1:4
2:8
4:16
6:24

From these ratios, we can see that for every unit increase in Fruit Punch Mix, there is a corresponding increase of 4 units in the amount of Water.

Therefore, the constant of proportionality is 4, which appears in the ratio (2, 8).