Question

In a direct variation equation f(x) = 6 when x = 4. what is the direct variation equation

A-f(x)=6x
B-f(x)=4x
C-f(x)=1.5x
D-f(x)=0.67x

Answer 1

C-f(x)=1.5x

just took the quiz and 3/2 reduces to 1.5

Answer 2

D)
`f(x)=1.5x`

Explanation:

Direct variation is the opposite of Proportional Variation. It is given according to this formula:

`y=kx`

The notation f(x) = y. Since f(x)=y= 6 and x=4 Firstly let's find k. Then plug it back to the original one.

We have:

`y=kx\\6=k4\\k=(6)/(4) =k=(3)/(2)\\y=(3)/(2)x \Rightarrow y\approx1.5x`