Question

Suppose that y varies directly with x and y=5 when x=6. What is y when x=5? Be sure to simplify your answer. Please help!!

Answer 1

y =
`(25)/(6)`

Explanation:

Given that y varies directly with x then the equation relating them is

y = kx ← k is the constant of variation

To find k use the condition y = 5 when x = 6

k =
`(y)/(x)` =
`(5)/(6)`, thus

y =
`(5)/(6)` x ← equation of variation

When x = 5, then

y =
`(5)/(6)` × 5 =
`(25)/(6)`