ExpertEasy1 markMultiple Choice
AQA GCSE · Question 05 · Ratio Proportion and Rates of Change
X is inversely proportional to Y.
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Select the correct statement.
X is inversely proportional to Y.
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Select the correct statement.
Answer options:
A.
X is directly proportional to Y
B.
X is directly proportional to 1/Y
C.
X is directly proportional to 2Y
D.
X is directly proportional to √Y
How to approach this question
Recall the definition of inverse proportionality. If X is inversely proportional to Y, it can be written as X ∝ 1/Y. This means that X is directly proportional to the reciprocal of Y. Examine the given options to find the one that matches this definition.
Full Answer
B.X is directly proportional to 1/Y✓ Correct
X is directly proportional to 1/Y
The statement "X is inversely proportional to Y" is written mathematically as:
X ∝ 1/Y
This can be turned into an equation:
X = k/Y, where k is the constant of proportionality.
The expression "X ∝ 1/Y" can be read as "X is directly proportional to 1/Y". Therefore, the correct statement is that X is directly proportional to 1/Y.
Common mistakes
✗ Confusing inverse and direct proportionality.
✗ Not understanding that inverse proportionality to Y is the same as direct proportionality to 1/Y.
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