Question

Here are recipes for two different banana cakes. Information for the first recipe is shown in the table.

sugar (cups) flour (cups)
1/2 3/4
2 1/2 3 3/4
3 4 1/2

The relationship between cups of flour y​ and cus of sugar x​ in the second recipe is y= 7/4x. ​

b) what is the constant of proportionality for each situation and what does it mean?

Answer 1

The constant of proportionality for the first recipe is 3 3/4 cups of flour per 1/2 cup of sugar and for the second recipe, it is 7/4 cups of flour per 1 cup of sugar.

Step-by-step explanation:

For the first recipe, the constant of proportionality is given by the ratio of the cups of flour to the cups of sugar. In this case, the constant of proportionality is 3 3/4 cups of flour per 1/2 cup of sugar.

For the second recipe, the constant of proportionality is given by the coefficient of x in the equation y = (7/4)x. In this case, the constant of proportionality is 7/4 cups of flour per 1 cup of sugar.

The constant of proportionality represents the ratio of the two quantities in the relationship. It tells us how the two quantities are related to each other.