Question

For Brianna's lemonade recipe, 2 lemons are required to make 4 cups of lemonade. Fill out a table of equivalent ratios and plot the points on the coordinate axes provided.

Answer 1

Using a proportional relationship, it is found that:

• 1 lemon is required for 2 cups.

• 6 cups are required for 3 lemons.

The graph for this relationship is given at the end of the answer.

What is a proportional relationship?

A proportional relationship is a function in which the output variable is given by the input variable multiplied by a constant of proportionality, that is:

y = kx

In which k is the constant of proportionality.

For this problem, we have that the variables are:

• x: number of lemons.

• y: number of cups.

Hence the proportional relationship between these two variables is given by:

y = 2x.

Then:

• 1 lemon is required for 2 cups. (y = 2, then x = 1).

• 6 cups are required for 3 lemons. (x = 3, then y = 6).

The linear graph of the relationship, considering the given points, is given at the end of the answer.

More can be learned about proportional relationships at https://brainly.com/question/10424180

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