Question

if y varies inversely as x and if y =9 when x=2 find y when x = 3

Answer 1

A/q
y=k/x , where k is the constant of proportionality

As, 9=k/2 ; {as y=9 & x=2}
so, k=18.

Hence, y=18/3 ; {as x=3 & k=18}
so, y=6 ans.

Thanks.

Answer 2

Given,

y ∝ 1/x

y = 9

x = 2

x = 3

To find,

The value of y.

Solutions,

The value of y if y varies inversely as x is 6.

We can simply find the value of y₂ by using the given condition.

y ∝ 1/x

y = k/x

9 = k/2

k = 18

y = k/x

y = 18/3

y = 6

Hence, the value of y is 6 if y varies inversely as x.