Question

Suppose y varies inversely as x and y=12 when x=6 find y if x=8

Answer 1

y = 9

Explanation:

given that y varies inversely as x then the equation relating them is

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

to find k use the condition y = 12 when x = 6

12 =
`(k)/(6)` ← multiply both sides by 6 to clear the fraction

72 = k

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

when x = 8 , then

y =
`(72)/(8)` = 9