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
(2.5, 1)
left parenthesis 2.5 comma 1 right parenthesis
(5, 2)
left parenthesis 5 comma 2 right parenthesis
(2, 5)
left parenthesis 2 comma 5 right parenthesis
Skip to navigation
page
The constant of proportionality appears at the ratio (2, 5).
To find the ratio at which the constant of proportionality appears, we need to look for a consistent ratio between the number of scoops of raspberry and the amount of lemonade in each row of the table.
From the table, we can see that as the number of scoops of raspberry increases, the amount of lemonade also increases, maintaining a consistent ratio of 2 scoops of raspberry to 5 cups of lemonade.
So, the ratio at which the constant of proportionality appears is (2, 5).
To determine the ratio at which the constant of proportionality appears, we need to find the ratio of raspberry to lemonade that remains constant throughout the table.
Looking at the table, we can see that as the number of cups of lemonade doubles, the number of scoops of raspberry also doubles. This means that the ratio of raspberry to lemonade remains constant at 1 scoop of raspberry to 2 cups of lemonade. Therefore, the correct answer is (1, 2.5).