Question

Is the following equation a direct variation? If so what is the constant of variation? Please select all correct answers.

2/3x=8/5y



Answers:

yes



k = 5/12



k = 16/15



no

Answer 1

Yes the equation is a direct variation.

There is no constant variation in this equation.

Explanation:

`(2)/(3)x =(8)/(5)y`

y = (2 × 5)x / (3 × 8) = 10/24x

Simplified gives:

y = 5/12x

Therefore y is directly proportional to x and the factor of the variation is 5/12.

There is no constant in this direct variation equation.