Answer:

Let k be the constant variation.

Formula for direct variation:

y = kxy=kx

Equation:

y \: \infty \: \frac{k}{x}y∞xk

(Note: There is no proportionality symbol here, so I'd just used the infinity symbol.)

Using the direct variation formula,

y = kxy=kx

y \: \infty \: \frac{k}{x} \: or \: y \: \infty \: k_{1} \times \frac{1}{x}y∞xkory∞k1×x1

Such that, y is equal to 24 and x is equal to 6.

k = \frac{24}{6}k=624

k = \frac{24}{6} \div \frac{6}{6}k=624÷66

k = \frac{4}{1}k=14

k = 4k=4

Therefore, the constant value (k) in the direct proportion of y = kx is 4.