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Here are sketches of five graphs - OCR - GCSE Maths - Question 7 - 2021 - Paper 1

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Question 7

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Here are sketches of five graphs. Write the letter of the graph that represents the following relationships. (a) y is directly proportional to x.

Worked Solution & Example Answer:Here are sketches of five graphs - OCR - GCSE Maths - Question 7 - 2021 - Paper 1

Step 1

(a) y is directly proportional to x.

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Answer

To find the graph where yy is directly proportional to xx, we look for a linear relationship where the line passes through the origin (0,0).

In this case, Graph C meets the requirement as it represents a straight line that starts at the origin and has a positive slope. This means that as xx increases, yy increases at a constant rate, clearly indicating a direct proportionality.

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