Question

Use the given x and y values to write a direct variation equation
x=5, y=30

Answer 1

The direct variation equation is y = 6x

Explanation:

The direct variation equation is y = kx, where

• k is the constant of variation

To find the value of k, use the initial values of x and y

∵ y = 5, y = 30

∵ y = k x

→ Substitute the values of x and y to find k

∵ x = 5 and y = 30

∴ 30 = k (5)

∴ 30 = 5k

→ Divide both sides by 5

∴
`(30)/(5)=(5k)/(5)`

∴ 6 = k

→ Substitute it in the form of the equation

∴ y = 6x

The direct variation equation is y = 6x