Use the table to answer the question.

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?

(1 point)
Responses

(5, 2)
left parenthesis 5 comma 2 right parenthesis

(1, 2.5)
left parenthesis 1 comma 2.5 right parenthesis

(2, 5)
left parenthesis 2 comma 5 right parenthesis

(2.5, 1)

Answer 1

To determine the ratio at which the constant of proportionality appears in the context of the raspberry lemonade recipe, we need to identify the ratio of raspberry scoops to lemonade cups from the table.

From the table:

• For 1 scoop of raspberry, there are 2.5 cups of lemonade (1, 2.5).
• For 2 scoops of raspberry, there are 5 cups of lemonade (2, 5).
• For 4 scoops of raspberry, there are 10 cups of lemonade (4, 10).
• For 6 scoops of raspberry, there are 15 cups of lemonade (6, 15).

The consistent ratio of raspberry to lemonade across these points is maintained, and we see from above:

The ratio used in the recipe is 2 scoops of raspberry for every 5 cups of lemonade.

This matches the following entry from the table:

(2, 5)

Thus, the correct response is:

(2, 5)