contestada

Suppose y varies directly with x, and y = 12 when x = 2. What direct variation
equation relates x and y?
What is the value of y when x = 4?

Respuesta :

Answer:

[tex]y=24[/tex]

Step-by-step explanation:

Given:

[tex]y=kx[/tex]

Substitute:

[tex]\left \{ {{y=12} \atop {x=2}} \right.[/tex] into [tex]y=kx[/tex]

[tex]12=k\times2[/tex]

Swap the sides:

[tex]k\times2=12[/tex]

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

[tex]k=\frac{12}{2}[/tex]

Cross out the common factor:

[tex]k=6[/tex]

Find the equation of the function:

[tex]y=6x[/tex]

Substitute:

[tex]y=6\times4[/tex]

Calculate the product or quotient:

[tex]y=24[/tex]