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
(1, 2.5)
left parenthesis 1 comma 2.5 right parenthesis
(2, 5)
left parenthesis 2 comma 5 right parenthesis
(5, 2)
The correct answer is (2.5, 1). This is because for every 2.5 cups of raspberry, there is 1 cup of lemonade.
To find the ratio at which the constant of proportionality appears, we need to examine the given table. The table shows the relationship between the number of scoops of raspberry and the number of cups of lemonade.
Looking at the table, we see that as the number of scoops of raspberry increases, the number of cups of lemonade also increases. This indicates a proportional relationship between the two variables.
The ratio between the number of scoops of raspberry and the number of cups of lemonade remains constant throughout the table.
Therefore, the ratio at which the constant of proportionality appears is (2, 5).
To find the ratio at which the constant of proportionality appears, we need to analyze the relationship between the scoops of raspberry and cups of lemonade.
Looking at the given table, we can see that as the number of scoops of raspberry increases, the number of cups of lemonade also increases proportionally.
We can observe that the ratio between the scoops of raspberry and cups of lemonade remains constant throughout the table. This ratio is 2.5:1, which means for every 2.5 scoops of raspberry, there are 1 cup of lemonade.
So, the correct answer is (2.5, 1).