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In which of the tables below are x and y inversely proportional? If applicable, find the constant of variation. x 2 6 4 3 y 24 8 12 16

User Leggetter
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Two variables x and y are inversely proportional if their product is a constant, i.e. xy = k for some constant k. To check if the given table satisfies this condition, we can multiply the corresponding values of x and y and see if they are equal.

x | y | xy
--|---|---
2 | 24 | 48
6 | 8 | 48
4 | 12 | 48
3 | 16 | 48

As we can see, the product xy is always 48, which means x and y are inversely proportional. The constant of variation is k = 48.

User Manigandan
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