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

(5, 2)
left parenthesis 5 comma 2 right parenthesis

(2.5, 1)
left parenthesis 2.5 comma 1 right parenthesis

(1, 2.5)
left parenthesis 1 comma 2.5 right parenthesis

(2, 5)

User Icon for Bot GPT 4-o mini Bot GPT 4-o mini answered
4 hours ago

To determine the constant of proportionality for the ratio of raspberry to lemonade, we can start with the information provided: Rosie uses 2 scoops of raspberry for every 5 cups of lemonade. This can be written as the ratio \( \frac{2}{5} \).

The constant of proportionality appears in the form of a coordinate point \((x, y)\), where \( x \) represents the quantity of lemonade and \( y \) represents the quantity of raspberry.

When we express the ratio \( \frac{y}{x} \):

  • \( y = 2 \) (scoops of raspberry)
  • \( x = 5 \) (cups of lemonade)

Therefore, the constant of proportionality can be represented as the point \( (5, 2) \) when considering the total lemonade first.

So the correct response is:

(5, 2)