Question

If x=0.8 when y=360 and y varies inversely as x, find y when x=24

Answer 1

y = 12

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 x = 0.8 when y = 360, hence

k = yx =360 × 0.8 = 288

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

When x = 24, then

y =
`(288)/(24)` = 12