Question

If p is inversely proportional to the square of q, and p is 20 when q is 7, determine p when q is equal to 2.

Answer 1

• p is 245 when q is equal to 2

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p is inversely proportional to the square of q:

• p = k/q², where k- coefficient of proportionality

p is 20 when q is 7, substitute:

• 20 = k/7²

Find the value of k:

• k = 20*7² = 20*49 = 980

Determine p when q is equal to 2:

• p = 980/2² = 980/4 = 245