These graphs show different relationships between the variables x and y - OCR - GCSE Maths - Question 9 - 2018 - Paper 6
Question 9
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.
o y is... show full transcript
Worked Solution & Example Answer:These graphs show different relationships between the variables x and y - OCR - GCSE Maths - Question 9 - 2018 - Paper 6
Step 1
y is directly proportional to x.
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Answer
The graph that shows direct proportionality between y and x will be a straight line passing through the origin. Among the provided graphs, Graph A displays a linear increase in y as x increases, indicating a direct proportionality.
Step 2
y is inversely proportional to x.
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Answer
The graph that represents an inverse proportionality will show that as x increases, y decreases and approaches zero. This is typically represented by a hyperbolic curve. Graph C illustrates this relationship, as it shows y decreasing as x increases.
