Suppose that y varies inversely with x, and y = 2 when x = 6. What is an equation for the inverse variation?
A. x = y over four
B. y = 12 over x
C. y = 4x
D. y = x over 12
B. y = 12 over x
To find the equation for inverse variation, we can start by setting up the formula:
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 solve for k:
2 = k/6.
To isolate k, we can multiply both sides of the equation by 6:
12 = k.
Now, we can substitute the value of k back into the equation to get the final equation:
y = 12/x.
Therefore, the correct equation for the inverse variation is option B: y = 12/x.