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?

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?

Answer 1

The constant of proportionality appears at a ratio of 2:5.

Answer 2

To find the ratio at which the constant of proportionality appears, we need to examine the table provided and look for a consistent relationship between the quantities.

Looking at the table, we can see that as the number of cups of lemonade increases, the number of scoops of raspberry needed also increases. More specifically, for every 5 cups of lemonade, Rosie needs to add 2 scoops of raspberry.

So the ratio we are looking for is the ratio between the number of scoops of raspberry and the number of cups of lemonade, which in this case is 2 scoops of raspberry for every 5 cups of lemonade.

Therefore, the ratio at which the constant of proportionality appears is 2:5.

Answer 3

To find the ratio at which the constant of proportionality appears in the data table, we need to identify the relationship between the number of scoops of raspberry and the number of cups of lemonade.

Looking at the table, we can see that when the number of scoops of raspberry is doubled, the number of cups of lemonade is also doubled. This means that the ratio of scoops of raspberry to cups of lemonade remains constant.

Let's calculate the ratios:

- Ratio for the first row: 1 scoop of raspberry to 2.5 cups of lemonade
- Ratio for the second row: 2 scoops of raspberry to 5 cups of lemonade
- Ratio for the third row: 4 scoops of raspberry to 10 cups of lemonade
- Ratio for the fourth row: 6 scoops of raspberry to 15 cups of lemonade

As we can see, the ratio for the first row (1 scoop of raspberry to 2.5 cups of lemonade) is the same as the ratio for the second row (2 scoops of raspberry to 5 cups of lemonade). Therefore, the constant of proportionality appears at a ratio of 1 scoop of raspberry to 2.5 cups of lemonade.

Answer 4

The constant of proportionality appears at a ratio of 2:5.

To find the ratio at which the constant of proportionality appears, we need to examine the table provided and look for a consistent relationship between the quantities.

To find the ratio at which the constant of proportionality appears in the data table, we need to identify the relationship between the number of scoops of raspberry and the number of cups of lemonade.

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