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The graphs of y against x represent four different types of proportionality - Edexcel - GCSE Maths - Question 13 - 2018 - Paper 2

Question 13

The graphs of y against x represent four different types of proportionality. Match each type of proportionality in the table to the correct graph. | Type of proport... show full transcript

Worked Solution & Example Answer:The graphs of y against x represent four different types of proportionality - Edexcel - GCSE Maths - Question 13 - 2018 - Paper 2

Step 1

Match each type of proportionality to the correct graph (y ∝ x)

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Answer

Graph A represents the relationship $y \propto x$ since it is a straight line through the origin with a positive slope.

Step 2

Match each type of proportionality to the correct graph (y ∝ x²)

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Answer

Graph B represents the relationship $y \propto x^2$ because it is a parabola opening upwards.

Step 3

Match each type of proportionality to the correct graph (y ∝ √x)

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Answer

Graph C symbolizes the relationship $y \propto \sqrt{x}$ , showing a curve that increases but at a decreasing rate.

Step 4

Match each type of proportionality to the correct graph (y ∝ 1/x)

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Answer

Graph D reflects the relationship $y \propto \frac{1}{x}$ , which is a hyperbola decreasing as x increases.

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