If p is indirectly proportional to the square of square q and p=12 when q=2

Answer 1

To find the equation of proportionality, we can use the formula:

p ∝ 1/q^2

Since p= 12 when q=2, we substitute these values into the equation:

12 ∝ 1/ (2^2)

12 ∝ 1/4

To remove the proportionality symbol, we introduce a constant, k:

12 = k/4

Multiply both sides by 4:

48 = k

The equation of proportionality is:

p = 48/q^2