Answer:
k = - [tex]\frac{1}{4}[/tex]
Step-by-step explanation:
Given that x varies directly with y then the equation relating them is
x = ky ← k is the constant of variation
To find k use the condition x = - 3 when y = 12
- 3 = 12k ( divide both sides by 12 )
[tex]\frac{-3}{12}[/tex] = k , that is
k = - [tex]\frac{1}{4}[/tex]
