rosie is planning to make a 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?
Raspberry
1
2
4
6
Lemonade
2.5
5
10
15
Answers:
(5, 2)
(2, 5)
(1, 2.5)
(2.5, 1)
The ratio at which the constant of proportionality appears can be determined by dividing the number of scoops of raspberry by the number of cups of lemonade for each data point.
For the first data point, the ratio is: 1 scoop of raspberry / 2.5 cups of lemonade = 0.4
For the second data point, the ratio is: 2 scoops of raspberry / 5 cups of lemonade = 0.4
For the third data point, the ratio is: 4 scoops of raspberry / 10 cups of lemonade = 0.4
For the fourth data point, the ratio is: 6 scoops of raspberry / 15 cups of lemonade = 0.4
The constant of proportionality appears at a ratio of 0.4, which corresponds to the option (1, 2.5).