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,

Respuesta :

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