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These graphs show different relationships between the variables x and y - OCR - GCSE Maths - Question 24 - 2018 - Paper 1

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Question 24

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These graphs show different relationships between the variables x and y. Graph A Graph B Graph C Graph D Identify the graph which shows the following. a) y is dir... show full transcript

Worked Solution & Example Answer:These graphs show different relationships between the variables x and y - OCR - GCSE Maths - Question 24 - 2018 - Paper 1

Step 1

a) y is directly proportional to x.

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Answer

In this case, we need to identify the graph that represents a linear relationship where y increases proportionally with x. Graph A demonstrates this relationship as it is a straight line beginning from the origin, indicating that as x increases, y also increases directly.

Step 2

b) y is inversely proportional to x.

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Answer

For this part, we want to find the graph that depicts an inverse relationship. Graph C illustrates this well, as it shows that when x increases, y decreases, indicating that they are inversely related.

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