Question

Which function represents a proportional relationship? A) f(x) = 3x 4 B) f(x) = 3 4x C) f(x) = 3x 4 + 3 4 D) f(x) = 3 4x + 3 4

Answer 1

Answer:b

Step-by-step explanation:

Answer 2

Answer: OPTION B

Step-by-step explanation:

The equation of a line that passes through the origin is the following:

$y=mx$

Where "m" is the slope of the line.

By definition, Proportional relationships have the following form:

$y=kx$

Where "k" is the Constant of proportionality.

Then, as you can notice, if you graph a Proportional relationship you will get a line that passes through the origin.

Therefore, based on the explained above, you can conclude that the option that shows a function  that represents a Proportional relationship is the Option B.

Then, this is:

$f(x)=\frac{3}{4}x$