Suppose that y varies inversely with x and that y = 2 when x = 8. What is an equation for the inverse variation?
ASAP PLEASE
16/x
Well, since we know y varies inversely with x, we can write that as y = k/x, where k is the constant of variation.
To find the value of k, we can use the given information. When y = 2 and x = 8, we can substitute these values into the equation:
2 = k/8
To solve for k, we can multiply both sides of the equation by 8:
2 * 8 = k
16 = k
So the equation for the inverse variation is y = 16/x.
To find the equation for the inverse variation, we need to use the formula for inverse variation, which is given by:
y = k/x
Where k is the constant of variation.
Now we can substitute the given values into the equation to solve for k:
2 = k/8
To isolate k, we multiply both sides of the equation by 8:
8 * 2 = k
k = 16
Therefore, the equation for the inverse variation is:
y = 16/x
y varies inversely with x ... x y = k
find k to complete the equation