Problema Solution

Find x when y = 32, given that x varies inversely as y, and x = 132 when y = 4.

Answer provided by our tutors

y varies inversely with x if there is a constant k such that:


x*y = k


we know that for x = 132, y = 4 and we find k by pluging these values into xy = k:


132*4 = k


k = 528


now the equation for x and y is:


x*y = 528


for y = 32 we have


32x = 528 divide both sides by 32


x = 528/32


x = 16.5