Find the constant of variation k for the direct variation. then write an equation for the inverse variation. y= 4.5 when x= 3

The constant for variation is k = 3/2 and the equation for the inverse is y = 2/3x

In order to find this, we need to start with the base equation for direct variation. We can then plug in the values and solve for k.

y = kx

4.5 = k(3)

1.5 = k

Now we can model the equation as y = 3/2x. We can then find the inverse by switching the x and y and solving for the new y.

y = 3/2x > Switch

x = 3/2y > Multiply by 2/3

2/3x = y

4th option is correct xy=-10

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