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Explain what a point (𝘹, 𝘺) on the graph of a proportional relationship means in terms of the situation, with special attention to the points (0, 0) and (1, 𝘳) where 𝘳 is the unit rate.
Represent proportional relationships by equations. For example, if total cost 𝘵 is proportional to the number 𝘯 of items purchased at a constant price 𝘱, the relationship between the total cost and the number of items can be expressed as 𝘵 = 𝘱𝘯.
Identify the constant of proportionality (unit rate) in tables, graphs, equations, diagrams, and verbal descriptions of proportional relationships.
Decide whether two quantities are in a proportional relationship, e.g., by testing for equivalent ratios in a table or graphing on a coordinate plane and observing whether the graph is a straight line through the origin.