Question

If y varies directly as x and y = 34 when x = 8, determine an equation to represent this relation.

Answer 1

y = 4.25x

Explanation:

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

y = kx ← k is the constant of variation

To find k use the condition y = 34 when x = 8, thus

34 = 8k ( divide both sides by 8 )

k =
`(34)/(8)` = 4.25

y = 4.25x ← equation of variation