Question
Use the table to answer the question.
Raspberry Lemonade
1| 2.5
2|5
4|10
6|15
Rosie is planning to make raspberry lemonade for a party. She needs to add 2 scoops of raspberry to every 5 cups of lemonade. The data table shows the ratios needed. At what ratio does the constant of proportionality appear?
Responses
(2.5, 1)
(5, 2)
(1, 2.5)
(2, 5)
The ratio (2, 5) represents the constant of proportionality.
The constant of proportionality appears at the ratio of (2, 5).
To determine the ratio at which the constant of proportionality appears, we need to find a consistent ratio between the number of scoops of raspberry and the number of cups of lemonade.
Looking at the table, we can see that for every 1 scoop of raspberry, there are 2.5 cups of lemonade. Similarly, for every 2 scoops of raspberry, there are 5 cups of lemonade.
Since the constant of proportionality is the same for both ratios, we can conclude that the constant of proportionality appears at the ratio (2, 5).
Therefore, the correct response is (2, 5).