Question

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

x= 4 when y= -6

Answer 1

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