Ages 12–14🧮 MathematicsBeing planted

Linear Function Graphs

Recognise that a linear function produces a straight-line graph, understand the relationship between an equation of the form y = mx + c and its graphical representation, and interpret gradient and y-intercept in context

A first look

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Question 1 of 3

A water tank is being filled at a constant rate. After 2 minutes, the tank holds 30 liters of water. After 5 minutes, it holds 75 liters. Which linear function correctly models the amount of water L (in liters) in the tank t minutes after the filling begins?

Question 2 of 3

Two points on a line are (2, 15) and (5, 30). Which equation correctly models the relationship between x and y?

Question 3 of 3

The table below shows two proportional relationships. Relationship A: (1, 3), (2, 6), (3, 9). Relationship B: (1, 5), (2, 10), (3, 15). Which relationship has the greater unit rate (slope)?

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Skill names and descriptions include the Marble Skill Taxonomy © Generative Spark, Inc. (withmarble.com), licensed under ODbL 1.0 (database) and CC BY-SA 4.0 (content). Practice questions are GlowGrades's own, each checked by independent verifiers that must agree before a child ever sees it.