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

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

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

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

(5, 2)

Answer 1

To determine the ratio at which the constant of proportionality appears, we need to look at the relationship between the quantities of raspberry and lemonade in the table.

The table shows:

• 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.

From this, we can see that every 2 scoops of raspberry corresponds to 5 cups of lemonade, which is consistent with Rosie's plan: she needs to add 2 scoops of raspberry for every 5 cups of lemonade.

This means that the ratio of raspberry (R) to lemonade (L) based on her requirement is \( R:L \) = \( 2:5 \), which is consistent with the values provided in the table.

Thus, the ratio that corresponds to the constant of proportionality appears in the table as (2, 5).

The correct response is: (2, 5).