If p is inversely proportional to the square of q, and p is 19 when q is 8, determine p when q is equal to 2

The value of p is equal to 304 when q is equal to 2

Given :

If p is inversely proportional to the square of q

when y is inversely proportional to x then

given that p is inversely proportional to the square of q. the equation becomes

when p is 19 the value of q is 8

Replace the values and find out k

Multiply both sides by 64

k=1216

Now we find out p when q is 2

Replace k value and q value to find out p

The value of p is equal to 304 when q is equal to 2

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p = 304

Step-by-step explanation:

Given p is inversely proportional to q² then the equation relating them is

p = ← k is the constant of proportion

To find k use the condition p = 19 when q is 8, then

19 = = ( multiply both sides by 64 )

k = 1216

p = ← equation of proportion

When q = 2, then

p = = = 304

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