Question

Classify the equation 15x=3y *

Direct Variation
Inverse Variation
Joint Variation
Linear Variation​

Answer 1

Equation 15x = 3y is direct variation and linear variaton.

Given:

Equation 15x = 3y

To Find:

Equation is which of the following

Direct Variation

Inverse Variation

Joint Variation

Linear Variation​

Solution:

Direct proportion/variation if a variable increases then other variable also increases with a constant factor   y = kx

This is also called Linear Variation

Inverse  proportion/variation if a variable increases then other variable decreases with a  constant factor  xy = k

Joint  proportion/variation is a relationship between atleast three variables, where one variable varies directly with all other variables.

y = kxz

Combined proportion/Variation  is a relationship between three or more variables where it is in direct variation with few variable and in inverse  variation with other variable  y = kx/z

15x = 3y

=> 5x = y    ( Dividing both sides sided by 3)

=> y = 5x

Hence is of for y = kx

where k = 5

Hence the equation 15x=3y is direct variation and linear variaton.