Question

Every Sunday, Kayla and her cousins get together for brunch. This week, Kayla is in charge of making fresh-squeezed orange juice.

There is a proportional relationship between the number of oranges Kayla squeezes, x, and the amount of juice (in ounces) she makes, y.

Answer 1

The question concerns a direct proportional relationship between the number of oranges squeezed and the amount of orange juice made, which is described by a linear equation, indicating it is a high school level mathematics problem.

Step-by-step explanation:

The question you're asking relates to proportional relationships and linear equations in mathematics. A proportional relationship exists when two quantities vary directly with each other. In the context of Kayla making orange juice, the number of oranges she squeezes (x) and the amount of juice she makes (y) likely have a direct proportional relationship, meaning as x increases, y increases at a constant rate. This is described by a linear equation of the form y = kx, where k is a constant of proportionality representing the amount of juice produced per orange. Unlike the inverse relationship in the form of y = k/x or the exponential relationship where the rate of change increases with the value of the dependent variable, a proportional relationship has a constant rate of change.