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

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

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

(1, 2.5)

Answer 1

To find the constant of proportionality, we look at the ratios of raspberry to lemonade in the given table. The constant of proportionality can be found by dividing the amount of lemonade by the amount of raspberry.

Let's analyze the table:

• For (1, 2.5), the ratio is \( \frac{2.5}{1} = 2.5 \)
• For (2, 5), the ratio is \( \frac{5}{2} = 2.5 \)
• For (4, 10), the ratio is \( \frac{10}{4} = 2.5 \)
• For (6, 15), the ratio is \( \frac{15}{6} = 2.5 \)

All the ratios simplify to the same constant of proportionality (2.5).

Given the options provided, the ratio that best represents the constant of proportionality is:

(1, 2.5)

because it shows the amount of raspberry (1) relative to the lemonade (2.5), maintaining the original proportionality.