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