Given

Question

1/3 Y÷1/2 X=4

Discuss its meaning.
Create a shape for X and for Y that will make this true. Draw and label the shapes, then illustrate how the quotient was obtained. Your drawing must be neat and accurate.

Answer 1

let's just simplify it, why "discuss" it?

(y/3) ÷ (x/2) = 4
y/3 = 4(x/2)
y/3 = 2x
y = 6x

looks like a very simple straight line equation with a slope of 6 , passing through the origin.

Answer 2

Its not meant to represent a line. :/

Create a shape for X and for Y that will make this true. Draw and label the shapes, then illustrate how the quotient was obtained. Your drawing must be neat and accurate

Answer 3

The way you typed it, the equation reduces to
y = 6x, which is definitely a straight line, trust me.

Here are 4 ordered pairs which satisfy my equation of
y = 6x and your equation of (1/3)y ÷ (1/2)x = 4

(1,6), (2,12), (3,18) and (15.25, 91.5)

If you plot them, they will form a straight line.

I don't have a clue what you mean by
"create a shape for X and Y that will make this true"

Guess I am just an old-fashioned mathematician.