AQA · Mathematics · 8300
GCSE Maths: Graphs: real life linear graphs
Statistics · AQA GCSE Maths (8300). Cards are generated from the Corbettmaths practice questions for Graphs: real life linear graphs (Corbettmaths Video 171), and every card links back to the exact page it came from. Practice tests are drawn from this deck’s own cards. Source material © Corbettmaths — used with attribution.
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On a volume–time linear graph, what does the y-intercept represent?
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The initial volume present before time starts (e.g., the starting amount of liquid).
On a volume–time linear graph for pouring liquid, what does the gradient represent?
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The rate at which the volume increases (e.g., ml per second).
On a depth–time graph for water draining from a pool, what does the gradient represent?
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The rate at which the depth decreases (e.g., cm per minute).
On a total electricity bill vs. units used linear graph, what does the y-intercept represent?
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The fixed monthly charge (before counting any units used).
On a total electricity bill vs. units used linear graph, what does the gradient represent?
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The cost per unit of electricity.
If a linear graph changes gradient partway through, what does this indicate about the rate?
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The rate (speed of change) has increased or decreased at that point.
What is the general form of a linear equation relating two variables?
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y = mx + c, where m is the gradient and c is the y-intercept.
If two quantities are mixed in the ratio 1:2, what is the relationship between their amounts on a graph?
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The graph will be a straight line through the origin, with the second quantity always double the first.
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