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?

(1 point
Responses

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

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

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

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

To determine the constant of proportionality from the data in the table between raspberry and lemonade, we need to look for a consistent ratio:

- 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.

If we calculate the ratio of lemonade to raspberry for each pair of values in the table, we can see that:

1. \( \frac{2.5}{1} = 2.5 \)
2. \( \frac{5}{2} = 2.5 \)
3. \( \frac{10}{4} = 2.5 \)
4. \( \frac{15}{6} = 2.5 \)

The constant of proportionality is \( 2.5 \), and it appears when we compare 1 scoop of raspberry to 2.5 cups of lemonade.

Thus, the answer is **(1, 2.5)**.