Question

Given that h varies inversely with respect to g, and that h= -24 when g= 3, write an

equation that describes the relationship between h and g. Then find h when g=-1,

Answer 1

h = 72

Explanation:

Given that h varies inversely with g then the equation relating them is

h =
`(k)/(g)` ← k is the constant of variation

To find k use the condition h = - 24 when g = 3 , then

- 24 =
`(k)/(3)` ( multiply both sides by 3 )

- 72 = k

h = -
`(72)/(g)` ← equation of variation

When g = - 1 , then

h = -
`(72)/(-1)` = 72