Question

Suppose y varies inversely with​ x, and y=-3 when x=13 What is an equation for the inverse​ variation?

Answer 1

y = -39/x

Explanation:

Formula we use,

→ y = k/x

→ k = xy

Now the value of k will be,

→ k = xy

→ k = 13 × (-3)

→ [ k = -39 ]

Then the inverse equation is,

→ y = k/x

→ -3 = -39/13

→ [ y = -39/x ]

Hence, the answer is y = -39/x.

Answer 2

• y = - 39/x

Explanation:

Inverse variation equation:

• y = k/x, where k- constant of variation

Given

• x = 13, y = - 3

Find the value of k

• - 3 = k/13
• k = - 3*13
• k = - 39

The equation is:

• y = - 39/x