Question

Which equation represents a direct variation?

a) y=2^x
b) y=x+4
c) y=1/2x
d)y=3/x

Answer 1

The answer is c) y=1/2x because a direct variation is in the formula b=ka where k is a constant. 

Answer 2

c) y=1/2x

Explanation:

A direct variation is a linear function that is written in the form of y=kx, so from the options that we have we have to search for linear functions, that rules out option "A", and now that is written in Y=KX in option b we have a liner function that is written y=X+B which is a constant, so that wouldn´t be and option D is Y=k/x so that one is also wrong, our correct option would be y=1/2x