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Suppose that x and y vary inversely. write a function that models each inverse variation.

x= 4 when y= -6

1 Answer

5 votes

Answer:

y = -
(24)/(x)

Explanation:

Given that the quantities vary inversely then the equation relating them is

y =
(k)/(x) ← k is the constant of variation

To find k use the condition x = 4 when y = - 6

k = yx = - 6 × 4 = - 24

y = -
(24)/(x) ← equation of variation

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