write the definition of a proportional relationship in math terms and how it can be used.

Answer 1

A proportional relationship in math refers to a relationship between two quantities where the ratio of change in one quantity is proportional to the change in the other quantity. In other words, as one quantity increases or decreases, the other quantity changes in direct proportion.

Formally, a proportional relationship can be expressed as y = kx, where y and x are the two quantities, and k is the constant of proportionality.

Proportional relationships can be used to solve a variety of problems in mathematics, such as calculating unit rates, finding unknown quantities, and comparing different quantities. They are commonly used in real-world scenarios such as calculating the cost of an item based on its weight, or determining the distance traveled based on the speed of an object.