Unit Rates & Proportions Unit Test
5 of 155 of 15 Items
Question
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
(1, 2.5)
left parenthesis 1 comma 2.5 right parenthesis
(5, 2)
The correct answer is (2, 5). This is because the ratio 2 scoops of raspberry to 5 cups of lemonade appears consistently in the table.
To determine at which ratio the constant of proportionality appears, we need to find the ratio between the number of scoops of raspberry and the number of cups of lemonade.
By looking at the table, we can see that the ratio of raspberry to lemonade is as follows:
1 scoop of raspberry to 2.5 cups of lemonade
2 scoops of raspberry to 5 cups of lemonade
4 scoops of raspberry to 10 cups of lemonade
6 scoops of raspberry to 15 cups of lemonade
We can observe that the ratio remains constant throughout, which means the constant of proportionality is 2 scoops of raspberry to 5 cups of lemonade.
Therefore, the correct answer is: (2, 5) or left parenthesis 2 comma 5 right parenthesis.
To find the ratio at which the constant of proportionality appears, we need to compare the values of raspberry and lemonade scoops in the table.
The table shows the following ratios:
- Raspberry : Lemonade
- 1 : 2.5
- 2 : 5
- 4 : 10
- 6 : 15
To find the ratio that represents the constant of proportionality, we need to find a ratio where the values of raspberry and lemonade are proportional.
Looking at the ratios given, it is clear that the ratio (1, 2.5) and the ratio (2, 5) have a constant ratio of 1:2.5 or 2:5. This means that for every 1 scoop of raspberry, there are 2.5 cups of lemonade, or for every 2 scoops of raspberry, there are 5 cups of lemonade.
Therefore, the correct answer is:
(1, 2.5)
left parenthesis 1 comma 2.5 right parenthesis