Answer:
h = 72
Step-by-step explanation:
Given that h varies inversely with g then the equation relating them is
h = [tex]\frac{k}{g}[/tex] ← k is the constant of variation
To find k use the condition h = - 24 when g = 3 , then
- 24 = [tex]\frac{k}{3}[/tex] ( multiply both sides by 3 )
- 72 = k
h = - [tex]\frac{72}{g}[/tex] ← equation of variation
When g = - 1 , then
h = - [tex]\frac{72}{-1}[/tex] = 72