If y ∝ 1/x³ and y = 32 when x = 2 find y when x = 4?
- 4
- 5
- 6
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Explanation
y ∝ 1/x³ means y = k / x³ where k is a constant.
Step 1: Find k using y = 32 when x = 2
32 = k / 2³
32 = k / 8
k = 32 * 8 = 256
Step 2: Use k to find y when x = 4
y = 256 / 4³
y = 256 / 64
y = 4
Last verified on 25-05-2026
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