Question

If x varies directly with y and x = -3 when y = 12, what is the constant of variation?

Answer 1

Answer:

k = - $\frac{1}{4}$

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 )

$\frac{-3}{12}$ = k , that is

k = - $\frac{1}{4}$