Question

Can someone please help me URGEnt

y is directly proportional with x. Write an equation that shows the relationship if y=3 and x=12.
A. y=1/4x
B. 3y=12x
C. y=4x
D. x=1/4y

Answer 1

A.
`y=(1)/(4)x`

Explanation:

The Direct Proportionality equation is: f (x) = k.x, where k is the proportionality constant and f (x) is y.

So y = k.x is the mathematical formula or model.

The graphical representation of the direct proportionality function is a line that passes through the origin of coordinates.

In the given case, we must calculate the value of k and then replace it in the formula, being

y = 3

x = 12

k =?

If y = k.x, isolating k is obtained

`k=(y)/(x)`

`k=(3)/(12)`

Expressing the fraction in its simplest form, we have

`k=(3/3)/(12/3)`

`k=(1)/(4)`

Substituting that value in the original formula y = k.x, we have

`y=(1)/(4)x`

Hope this helps!

Answer 2

A. y = ¼x

Explanation:

A direct proportion has the form

y = kx or k=y/x

1. Calculate k

k = 3/12 = ¼

2. Write the equation

y = ¼x