Question

Y varies inversely to x and y =60 when x=8 solve for x when y=20

Answer 1

x = 24

Explanation:

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

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

to find k substitute y = 60 when x = 8 into the equation

60 =
`(k)/(8)` ( multiply both sides by 8 )

480 = k

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

when y = 20 , then

20 =
`(480)/(x)` ( multiply both sides by x )

20x = 480 ( divide both sides by 20 )

x = 24