Back to Recognize and represent proportional relationships between quantities — Problem 3 · Task Set 3

7.RP.A.2 Tutor Intake -- Recognizing and Representing Proportional Relationships

This short check helps your tutor see where to start. Work each problem on
your own, without a calculator. If you are not sure, give your best try --
every answer helps your tutor plan your first few sessions.

Grade 7·10 problems·~11 min·Common Core Math - Grade 7·standard·7-rp-a-2

Work through problems with immediate feedback

Concepts

On the graph of a proportional relationship between gallons of
paint purchased and total cost, what does the point $(0, 0)$
represent, and why must it be on the graph?

It only appears on graphs where the unit rate happens to be a whole number.

It is just a reference mark on the axes and carries no meaning in the context of the problem.

It represents the smallest possible purchase, but the relationship would still be proportional without it.

Buying 0 gallons costs $0; this must hold for any proportional relationship, since $y = kx$ gives $y = 0$ when $x = 0$ .