Question

The values of w is inversely proportional to m .if w=8 then m=25; what is m when w=20?

Answer 1

m = 10

Explanation:

Given w is inversely proportional to m then the equation relating them is

w =
`(k)/(m)` ← k is the constant of variation

To find k use the condition w = 8, m = 25 , then

8 =
`(k)/(25)` ( multiply both sides by 25 )

200 = k

w =
`(200)/(m)` ← equation of variation

When w = 20 , then

20 =
`(200)/(m)` ( multiply both sides by m )

20m = 200 ( divide both sides by 20 )

m = 10