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 (5, 2) left parenthesis 5 comma 2 right parenthesis (1, 2.5) left parenthesis 1 comma 2.5 right parenthesis (2, 5)
The constant of proportionality appears at the ratio (2, 5).
are you sure
Apologies for the confusion. The constant of proportionality appears at the ratio (2.5, 1).
is it though
My apologies, I made a mistake in my initial response. I misunderstood the question. The correct answer is (2, 5). The ratio 2 scoops of raspberry to every 5 cups of lemonade represents the constant of proportionality. Thank you for pointing out the error.
To find the constant of proportionality in this scenario, we need to identify the ratio in which the number of scoops of raspberry varies with respect to the number of cups of lemonade.
Let's look at the given data table:
Raspberry: 1 scoop, 2 scoops, 4 scoops, 6 scoops
Lemonade: 2.5 cups, 5 cups, 10 cups, 15 cups
If we divide the number of scoops of raspberry by the number of cups of lemonade for each set of data, we can determine the ratios:
1 scoop / 2.5 cups = 0.4
2 scoops / 5 cups = 0.4
4 scoops / 10 cups = 0.4
6 scoops / 15 cups = 0.4
As we can see, the ratio remains constant at 0.4 in each case. Therefore, the constant of proportionality appears at the ratio (0.4, 1), which corresponds to the options (2.5, 1) and (5, 2).
So, the answer is: (2.5, 1)