Question

Which relationship between x and y in the equation shows a proportional relationship?


y=x2+3

y = 2x + 6

y = 12x

y=12/x

Answer 1

Answer: y=12x

Step-by-step explanation: It is really simple. If you were to graph these equations, you would get strait lines, For it to be a proportional relationship, the line must go through the origin (0,0) and be straight. This mean any expression with y=x+/-? is not proportional as it doesn't go through the origin. It starts somewhere higher or lower. This eliminates options a) and b). Next, for the expression to be proportional, x can never be the denominator or numerator. Although, it is okay for x to be a rational number

For example, y=1/8x is proportional.

This eliminates the last option choice, and that leaves y=12x, which is proportional.