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# Suppose that a^2 varies inversely with b^3

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Suppose that a^2 varies inversely with b^3.    If a = 7 when b = 4, find the value of a^2 when b = 6.

Nov 6, 2020

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$$a^2\; \propto \;\frac{1}{b^2}\\ a^2\; = \;\frac{k}{b^2}$$

Now sub in a=7 and b=4 to get k.

Then you have the formula that you can use for any given value of a or b.

Nov 6, 2020