Respuesta :

JohnPositivity
Direct variation is a relationship between two variables where one variable is a constant multiple of the other. The equation for direct variation is typically represented as y = kx, where y and x are the variables, and k is the constant of variation.

In this case, the equation that shows direct variation is the one where one variable is directly proportional to the other. Looking at the options:

A. 1/3 * 1/a = b
B. a/b = 1/3
C. a * b = 3
D. a = 1/3 * 1/b
E. a + b = 3

The equation that represents direct variation is option C, a * b = 3. This equation shows that the product of an and b is constant, indicating a direct variation relationship between an and b.
roohafzah

Answer :

  • B) a/b = 1/3

Explanation :

The formula for direct variation is given by,

  • y = kx

wherein, k is the constant of proportionality

this shows that y is directly proportional to variable x .

out of the given options, option b) a/b = 1/3 which when written in the form of y = kx results in b = 3a shows direct variation with the constant proportionality of 3 thus when there's an increase in b ,a will increase by the factor of 3, therefore , it's the correct answer.