Question

The variables x and y vary inversely If x=5 when y=12, then find the value of x when y=32

Answer 1

x=15/8

Explanation:

Inverse variation is given by

xy = k

Substituting x=5 and y=12

5*12 = k

60 =k

Our original equation is xy = 60

Now let y=32

x*32 = 60

Divide each side by 32

32x/32 = 60/32

Divide top and bottom by 4

x = 15/8