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
It appears that the constant of proportionality appears at a ratio of 2 scoops of raspberry to 5 cups of lemonade.
To determine the ratio at which the constant of proportionality appears, we need to find the ratio between the scoops of raspberry and the cups of lemonade.
From the data table, we see that for every 2 scoops of raspberry, Rosie needs 5 cups of lemonade. So, the ratio is 2:5.
The constant of proportionality appears in this ratio, where the number of scoops of raspberry is directly proportional to the number of cups of lemonade.
To find the ratio at which the constant of proportionality appears, we can examine the data table provided. The table shows the ratio of the number of scoops of raspberry to the number of cups of lemonade.
Let's calculate the ratios for multiple sets of data points:
- For 2 scoops of raspberry and 5 cups of lemonade, the ratio is 2:5.
- For 4 scoops of raspberry and 10 cups of lemonade, the ratio is also 2:5.
- For 6 scoops of raspberry and 15 cups of lemonade, once again, the ratio is 2:5.
We observe that for every increase of 2 scoops of raspberry and 5 cups of lemonade, the ratio remains constant at 2:5. This indicates that the constant of proportionality appears at a ratio of 2:5.