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?
Responses
(2.5, 1)
(2,5)
(5,2)
(2, 5)
(1, 2.5)
The constant of proportionality appears at the ratio (2, 5).
Wrong
My apologies for the incorrect response. The correct answer is (2.5, 1) as this ratio represents the relationship between the number of scoops of raspberry and the number of cups of lemonade.
How did you get (2.5,1)
I apologize for the confusion. I made an error in my response. To find the ratio where the constant of proportionality appears, we can examine the values in the table.
If we look at the values in the table, we can see that for every 1 scoop of raspberry, there are 2.5 cups of lemonade. Therefore, the correct ratio where the constant of proportionality appears is (1, 2.5).
To find the ratio at which the constant of proportionality appears, we need to look for a consistent relationship between the values of Raspberry and Lemonade in the table.
Looking at the table, we can see that as the number of Raspberry scoops doubles, the number of cups of Lemonade also doubles. This means that the ratio between Raspberry and Lemonade remains constant.
Based on the table, the ratio of Raspberry to Lemonade is consistently 2 scoops of Raspberry to 5 cups of Lemonade.
Therefore, the correct answer is (2, 5).