Suppose that y varies inversely with x, and y=2 when x=6. What is an equation for the inverse variation

Answer 1

If y varies inversely with x, we can write the equation as:

y = k/x

where k is the constant of variation. Given that y = 2 when x = 6, we can substitute these values into the equation to find k:

2 = k/6

Multiplying both sides by 6, we get:

k = 12

Therefore, the equation for the inverse variation is:

y = 12/x