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If p is inversely proportional to the square of q, and p is 25 when q is 3, determine p

when q is equal to 5.

User Destroyica
by
7.4k points

1 Answer

4 votes

Answer:

p = 9 when q = 5.

Explanation:

p is inversely proportional to the square of q

This means that:


p = (k)/(q^2)

In which k is a constant multiplier.

p is 25 when q is 3

We use this to find k.


p = (k)/(q^2)


25 = (k)/(3^2)


k = 25*9 = 225

So


p = (225)/(q^2)

Determine p when q is equal to 5.


p = (225)/(q^2) = (225)/(5^2) = 9

p = 9 when q = 5.

User Chris Dunaway
by
7.2k points

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