Find the constant of proportionality and write an equation that relates the variables. u varies inversely as the square of v, and u = 44 when v = 1 2 .

Answer 1

Since u varies inversly as the square of v, that means:

u * v² = k, with k being the constant of proportionality.

So, if we plug in u = 44 and v = 12:

(44) * (12²) =k

44 * 144 = k

6336 = k