Question

In an inverse variation, x=2 when y=-4. what is the value of y when x=16

Answer 1

Answer:

y = -1/2

Step-by-step explanation:

Use the inverse variation equation, y = $\frac{k}{x}$

Plug in 2 as x and -4 as y, then solve for k:

y = $\frac{k}{x}$

-4 = $\frac{k}{2}$

-8 = k

So, the equation is y = $\frac{-8}{x}$

Plug in 16 as x and solve for y:

y = $\frac{-8}{x}$

y = $\frac{-8}{16}$

y = -1/2

So, when x = 16, y = -1/2