Question

Suppose y varies inversely with x, and y = -1 when x = 6. What inverse variation equation relates x and y?

Answer 1

Answer:

• y = -6/x

Step-by-step explanation:

Inverse variation equation:

• y = k/x, where k - coefficient

We have:

• x = 6, y = -1

Work out the value of k by substituting the values of x and y:

• -1 = k / 6
• k = -1*6
• k = -6

The equation is:

• y = -6/x

Answer 2

Answer:

y = -6/x

Step-by-step explanation:

y varies inversely as x

So, y = k/x, where k is the constant of proportionality.

If y = -1 when x = 6,

Then, -1 = k/6 ===> k = -6

Therefore, y = -6/x