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?

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

The constant of proportionality appears when the ratio of scoops of fruit punch mix to cups of water is the same. In other words, when the ratio remains constant.

Looking at the data table, we can see that the ratio (2, 8) is equivalent to the ratio (1, 4) and the ratio (8, 2) is equivalent to the ratio (24, 6).

Therefore, the constant of proportionality appears at the ratio (1, 4).

Look at the quantities in the data table and determine if they are in a proportional relationship. If they are not in a proportional relationship, select why.

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2 points
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Yes, the data table has a proportional relationship
No, the ratios are not equivalent
No, the table does not count consecutively
No, the ration 7:105 is not proportional to the other ratios.