A rule is an equation that describes the relationship between two quantities. For instance, a student's weekly allowance is $10. The relation between the amount of money y after a certain number of weeks x can be written in the following way.
y=10x
This rule describes how the amount of money y varies depending on the number of weeks x. Using this rule, the amount the student will have earned after 4 weeks can be calculated.
y=$10⋅4⇒y=$40
A rule allows to predict or calculate the value of one quantity based on the value of the other. In addition, rules can be used to describe various mathematical concepts such as relations, functions, and sequences.