y is directly proportional with x. Write an equation that shows the relationship if y=3 and x=12.
A. y=4x
B. 3y=12x
C. x=14y
D. y=14x

Respuesta :

Answer:

All the options are incorrect, actually. The correct relationship would be x = 4y, which is not in any one of the options. The closest one would be A. y = 4x though.

Step-by-step explanation:

Hope this helped!

Answer:

y = [tex]\frac{1}{4}[/tex] x

Step-by-step explanation:

Given that y is directly proportional to x then the equation relating them is

y = kx ← k is the constant of proportion

To find k use the condition y = 3 when x = 12, then

3 = 12k ( divide both sides by 12 )

[tex]\frac{3}{12}[/tex] = [tex]\frac{1}{4}[/tex] = k , thus

y = [tex]\frac{1}{4}[/tex] x ← equation of proportion