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)
(1, 2.5)
The correct answer is (2, 5).
To determine the ratio at which the constant of proportionality appears in the given table, we need to find two entries where the ratio between the number of scoops of raspberry and the number of cups of lemonade remains the same.
Looking at the table, we can see that when we double the number of scoops of raspberry, the number of cups of lemonade also doubles.
Therefore, the ratio at which the constant of proportionality appears is:
(2, 5)
So, the correct answer is (2, 5).
To find the ratio at which the constant of proportionality appears, we need to find the ratio of the number of scoops of raspberry to the number of cups of lemonade for each row in the table.
In the first row, we have 1 scoop of raspberry to 2.5 cups of lemonade. So the ratio is 1:2.5.
In the second row, we have 2 scoops of raspberry to 5 cups of lemonade. So the ratio is 2:5.
In the third row, we have 4 scoops of raspberry to 10 cups of lemonade. So the ratio is 4:10, which simplifies to 2:5.
In the fourth row, we have 6 scoops of raspberry to 15 cups of lemonade. So the ratio is 6:15, which simplifies to 2:5.
We can see that in all rows, the ratio of scoops of raspberry to cups of lemonade is always 2:5. Therefore, the constant of proportionality appears at the ratio (2, 5).
Therefore, the answer is (2, 5).