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)
(
5
,

2
)
left parenthesis 5 comma 2 right parenthesis

(2, 5)
(
2
,

5
)
left parenthesis 2 comma 5 right parenthesis

(2.5, 1)
(
2.5
,

1
)
left parenthesis 2.5 comma 1 right parenthesis

(1, 2.5)
(
1
,

2.5
)
left parenthesis 1 comma 2.5 right parenthesis
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Answer 1

To determine the ratio at which the constant of proportionality appears, we need to look at the relationship between the scoops of raspberry and the cups of lemonade from the table provided:

The provided values are:

• 1 scoop of raspberry corresponds to 2.5 cups of lemonade.
• 2 scoops of raspberry corresponds to 5 cups of lemonade.
• 4 scoops of raspberry corresponds to 10 cups of lemonade.
• 6 scoops of raspberry corresponds to 15 cups of lemonade.

The constant of proportionality can be determined by finding the ratio of raspberry scoops to cups of lemonade. Since Rosie needs to add 2 scoops of raspberry for every 5 cups of lemonade, we are looking for the simplest form of that ratio.

From the options provided, we can confirm:

• The ratio (2, 5) represents the necessary ratio of raspberry to lemonade as given in the problem statement.
• The other ratios provided do not match the specified requirement of 2 scoops of raspberry for every 5 cups of lemonade.

Thus, the answer is (2, 5).