Question

in which of the following x and y vary directly with each other. for each direct variation state the constant of variation​

Answer 1

Answer:

1. $y = -8x$, x and y vary directly, and the constant of variation is -8.

2. $y = \frac{3}{4} x$, x and y vary directly, and the constant of variation is $\frac{3}{4}$.

Step-by-step explanation:

1. $y = -8x$

∴ First derivative of y with respect to x, $\frac{dx}{dy} = -8$ And this is a constant.

∴ x and y vary directly, and the constant of variation is -8.

2. $y = \frac{3}{4} x$

∴ First derivative of y with respect to x, $\frac{dx}{dy} = \frac{3}{4}$ And this is a constant.

∴ x and y vary directly, and the constant of variation is $\frac{3}{4}$.