Question

Identify the variation as direct, inverse, joint or combined.
y = 7x

Answer 1

possibly direct variation

Answer 2

y =7x , follows the direct variation.

Explanation:

Direct variation states that a relationship between two variables in which one is a constant multiple of the other. In other words, when one variable changes the other changes in proportion to the first.

If y is directly proportional to x i.e,
`y \propto x` or

y = kx .....[1] where k is the constant variation

Given : y = 7x

On comparing this with equation [1] we get;

k(constant of variation) = 7

therefore,

it follows the direct variation as
`y \propto x` or

y = 7x where k =7 is the constant of variation.

Therefore, y =7x follows the direct variation.