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=2

Answer 1

see explanation

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 = 2 when y = 2

k = yx = 2 × 2 = 4, hence

y =
`(4)/(x)` ← equation of variation