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
(2.5, 1)
left parenthesis 2.5 comma 1 right parenthesis
(2, 5)
left parenthesis 2 comma 5 right parenthesis
(5, 2)
left parenthesis 5 comma 2 right parenthesis
To find the ratio at which the constant of proportionality appears, we need to identify the ratio between the number of scoops of raspberry and the amount of lemonade in each row of the table.
Looking at the table, we see that for every 2.5 scoops of raspberry, there are 1 cup of lemonade in the first row. Similarly, for every 5 scoops of raspberry, there are 2 cups of lemonade in the second row.
Comparing these ratios, we can see that the ratio (2.5, 1) represents the constant of proportionality between the number of scoops of raspberry and the amount of lemonade.
Therefore, the correct answer is:
(2.5, 1)
To find the ratio at which the constant of proportionality appears, we need to look at the ratios between the number of scoops of raspberry and cups of lemonade.
Looking at the table provided:
- For the first ratio, 1 scoop of raspberry corresponds to 2.5 cups of lemonade.
- For the second ratio, 2 scoops of raspberry correspond to 5 cups of lemonade.
- For the third ratio, 4 scoops of raspberry correspond to 10 cups of lemonade.
- For the fourth ratio, 6 scoops of raspberry correspond to 15 cups of lemonade.
From these ratios, we can see that the constant of proportionality appears when the ratio of scoops of raspberry to cups of lemonade is:
(2, 5)
Therefore, the correct answer is:
(2, 5)