Respuesta :

wegnerkolmp2741o

Answer:

9/2

Step-by-step explanation:

Direct variation is

y = kx where k is the constant of variation

Substitute into the equation to find k

y=3 and x=2

3 = k*2

Solve for k

3/2 = k

y = 3/2 x

We know x =3

y = 3/2 * 3

y = 9/2

Answer:

A

Step-by-step explanation:

given y varies directly with x then the equation relating them is

y = kx ← k is the constant of variation

To find k use the condition y = 3 when x = 2 , then

3 = 2x ( divide both sides by 2 )

[tex]\frac{3}{2}[/tex] = k

y = [tex]\frac{3}{2}[/tex] x ← equation of variation

When x = 3 , then

y = [tex]\frac{3}{2}[/tex] × 3 = [tex]\frac{9}{2}[/tex] → A

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