Question

31. Suppose that y varies inversely with x and that y = 4 when x = 6. What is an equation for the

inverse variation?
(1 po
6
Oy=
4x
24
y= —
2
24

Answer 1

y =
`(24)/(x)`

Explanation:

Given that y varies inversely with x then the equation relating them is

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

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

4 =
`(k)/(6)` ( multiply both sides by 6 )

24 = k

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