Question

Which equation is the direct variation equation if f(x) varies directly with x and f(x)=-2 when x=6

Question 3 options:

f (x)=- 2 x


f (x )=-1 /2 x


f (x )=-6 x


f (x )= -18 x

Answer 1

Answer:

$f(x)=-x/3$

Step-by-step explanation

Given f is a direct variation equation (Direct variation is when one variable is equal to a constant times another variable, with no additions or subtractions alongside).

Now by the above condition let the constant be "c".Then

$f(x)=cx$

also given that $f(x)=-2$ when$x=6$

on substituting the above values,

$-2=c(6)$

$c=-2/6$

$c=-1/3$

Therefore our equation is $f(x)=-x/3$