Question

Suppose that y varies inversely with x. Write an equation for the inverse variation. y = 4 when x = 6

Answer 1

The equation for the inverse variation is y = 24/x.

Step-by-step explanation:

In an inverse variation, the equation can be represented as y = k/x, where k is a constant. To find the equation for the given scenario, we can substitute the values of y = 4 and x = 6 into the equation and solve for k.

4 = k/6

Cross-multiplying, we get k = 24. Therefore, the equation for the inverse variation is y = 24/x.

Answer 2

y=kx

4=6k

k= 2
--
3

y=2/3x is the answer.

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