Problema Solution

Find an equation of variation where y varies inversely as x and y = 7 when x= 8.

Answer provided by our tutors

"y varies inversely as x" means that when x increases, y decreases by the same factor.

In other words, the expression xy is constant:

xy = k

where k is the constant of variation.

Plug y = 7 and x = 8 and we find 'k':

8*7 = k

k = 56

The equation is:

xy = 56