Question

Suppose that Y is inversely proportional to X. Find the constant of proportionality k if y = 19 when X = 10. Using the k from above write the variation equation in terms of X. Using the k from above find Y given that X = 44.

Answer 1

`(95)/(22)`

Explanation:

y =
`(1)/(x)`

19 = k(
`(1)/(10)`) Solve for k, by multiplying both sides by 10

190 = k

y = 190(
`(1)/(x)`)

y = 190(
`(1)/(44)`)

y =
`(190)/(44)`

y =
`(95)/(22)`