Answer
x=5
Work Step by Step
Our equation for an inverse variation is y=k/x or xy=k or, as will be needed in this problem, x=k/y. We will use the second form of the equation to solve for k.
We use the ordered pair (2.5,4) to solve for k, from which we know that x=2.5 and y=4.
2.5×4=k
10=k
So, k=10
Therefore, our equation for the inverse variation is y=10x or xy=10 or x=10/y
Using the third form of the equation, x=10/y, we can use the y value of the second order pair to find our missing x value.
x=10/2
x=5
