Question

Suppose that x and y vary inversely and that x = 2 when y = 8. Write the function that models the inverse variation. A. y = 16/x

B. y = 10/x
C. y = 4x
D. y = 6/x

Answer 1

A. y = 16/x
....................................

Answer 2

The correct answer to this question is this one: A. y = 16/x

x and y varies inversely.
so meaning
x = k / y

when y=8 , x=2
2 = k / 8
so this will give us the value of k
k = 16

x = k/y
xy = k
y = k/x
y = 16 / x