suppose that y varies inversely with x and that y=2 when x=8. 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. To find k, we use the given information that y=2 when x=8:
2 = k/8
To solve for k, we multiply both sides by 8:
16 = k
Now that we have the value of k, we can write the equation for inverse variation:
y = 16/x