Question

Suppose y varies directly with x, and y = 12 when x = 2. What direct variation

Answer 1

Answer:

$y=24$

Step-by-step explanation:

Given:

$y=kx$

Substitute:

$\left \{ {{y=12} \atop {x=2}} \right.$ into $y=kx$

$12=k\times2$

Swap the sides:

$k\times2=12$

Divide both sides of the equation by the coefficient of variable:

$k=\frac{12}{2}$

Cross out the common factor:

$k=6$

Find the equation of the function:

$y=6x$

Substitute:

$y=6\times4$

Calculate the product or quotient:

$y=24$