Question

Identify the function in which y varies directly with x.

A.) y = 4x + 4
B.) y = 4x – 4
C.) y = 4x
D.) x = 4y

Answer 1

I answer should be C.
Hope its right
And work.

Answer 2

Answer: The correct option is (C) y = 4x.

Step-by-step explanation: We are given to identify the function in which y varies directly with x.

We know that

if y varies directly as x, then we write as follows :

`y\propto x\\\\\Rightarrow y=k* x~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~[\textup{where k is the constant of proportionality}]\\\\\Rightarrow y=kx~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~(i)`

Out of the given options, equation (i) matches with the third option y = 4x, for k = 4.

Therefore, the correct option is (C) y = 4x.