Question

7. A recipe for a smoothie calls for 5 cups of strawberries for every 2 cups of bananas. The line represents the relationship between the amount of strawberries and the amount of bananas needed to make a smoothie according to this recipe. The point (1, 2.5) is on the line. Show your reasoning.​

Answer 1

Answer/Step-by-step explanation:

This is a proportional relationship between amount of strawberries and the amount of bananas needed in making smoothie.

Thus, a constant of proportionality, k, is a ratio that exist between both quantities.

k = y/x = amount of strawberry/amount of bananas.

Since we are given that a recipe of smoothie contains 5 cups of strawberries for every 2 cups of bananas, therefore,

k = ⁵/2 = 2.5.

Any point that will be on the line shown must have the same value of k (y/x).

Thus, given the point (1, 2.5). The ratio between y and x is:

k = 2.5/1 = 2.5.

Since this also shows the same constant of proportionality as 2.5, therefore, the point is also on the line.

Answer 2

Answer/Step-by-step explanation:

This is a proportional relationship between amount of strawberries and the amount of bananas needed in making smoothie.

Thus, a constant of proportionality, k, is a ratio that exist between both quantities.

k = y/x = amount of strawberry/amount of bananas.

Since we are given that a recipe of smoothie contains 5 cups of strawberries for every 2 cups of bananas, therefore,

k = ⁵/2 = 2.5.

Any point that will be on the line shown must have the same value of k (y/x).

Thus, given the point (1, 2.5). The ratio between y and x is:

k = 2.5/1 = 2.5.

Since this also shows the same constant of proportionality as 2.5, therefore, the point is also on the line.