Question

If P Is inversely proportional to the square of q and p is 22 when a is 8 determine p when Q is equal to 4

Answer 1

The value of p is equal to 76 when q is equal to 4

Given :

If p is inversely proportional to the square of q

when y is inversely proportional to x then $y=\frac{k}{x}$

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

$p=\frac{k}{q^2}$

when p is 19 the value of a is 8

Replace the values and find out q

$p=\frac{k}{q^2}$

$22=\frac{k}{8^2}$

$22=\frac{k}{64}$

Multiply both sides by 64

k=1216

Now we find out p when q is 4

Replace k value and q value to find out p

$p=\frac{k}{q^2}$

$p=\frac{1216}{4^2}$

$p=76$

The value of p is equal to 76 when q is equal to 4

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Answer 2

Answer:

P = 88.

Step-by-step explanation:

P = k/q^2

22 = k/ 8^2

k = 22 * 64 = 1408.

So P = 1408/q^2

When q = 4:

P = 1408/4^2

q = 88