If y varies inversely with x, it means that y and x have a constant product. Let's call this constant k. Then, we can write:
y * x = k
If we know that y = 2 when x = 8, we can substitute these values into the equation and solve for k:
2 * 8 = k
k = 16
Now we can write the equation for the inverse variation as:
y * x = 16
Or, if we want to solve for y:
y = 16 / x
Suppose that y varies inversely with x and that y = 2 when x = 8. What is an equation for the inverse variation?
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