Question

Suppose that y varies inversely with x. Use the information to find k, and then choose the equation of variation. x = 2 when y = 11.

Answer 1

y =
`(22)/(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 x = 2 when y = 11

k = yx = 11 × 2 = 22

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

Answer 2

y = 22/x

Explanation:

We have given that y varies inversely with x.

y ∝ 1/x

y = k/x where k is constant of proportionality.

We have given that x = 2 when y = 11.We have to find the value of k.

Putting values in given equation, we have

11 = k / 2

k = 11 × 2

k = 22

Putting the value of k in given equation, we have

y = 22/x which is the answer.