To find the constant of proportionality in the context of the raspberry lemonade ratios, we can refer to the information provided in the table. Each ratio indicates the relationship between the amount of raspberry and lemonade.
From the table:
- For 1 scoop of raspberry, there are 2.5 cups of lemonade.
- For 2 scoops of raspberry, there are 5 cups of lemonade.
- For 4 scoops of raspberry, there are 10 cups of lemonade.
- For 6 scoops of raspberry, there are 15 cups of lemonade.
We can express these relationships as follows:
1 scoop raspberry / 2.5 cups lemonade = 1 / 2.5 2 scoops raspberry / 5 cups lemonade = 2 / 5 4 scoops raspberry / 10 cups lemonade = 4 / 10 6 scoops raspberry / 15 cups lemonade = 6 / 15
To find the constant of proportionality, we can look at the pairs in the ratio format (raspberry, lemonade):
- For 1 scoop raspberry and 2.5 cups lemonade, the pair is (1, 2.5).
- For 2 scoops raspberry and 5 cups lemonade, the pair is (2, 5).
- For 4 scoops raspberry and 10 cups lemonade, the pair is (4, 10).
- For 6 scoops raspberry and 15 cups lemonade, the pair is (6, 15).
Given that Rosie needs to add 2 scoops of raspberry for every 5 cups of lemonade, we can consider the ratio of raspberry to lemonade as (2, 5).
Thus, the constant of proportionality appears in the ratio:
(2, 5)
So the answer is: (2, 5).
2 answers