Suppose that x and y vary inversely, and x = 10 when y = 8. write the function that models the inverse variation.
a. y=2/x
b. y=18/x
c. y=80/x
d. y=0.8x

c.

Step-by-step explanation:

Given:

and vary inversely.

Therefore, we can express y in terms of x as:

Where, is a constant of proportionality.

Now, at

Plug in 10 for and 8 for in the above equation and solve for .

This gives,

Therefore, the function that models the inverse variation is :

.

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