Question

HELP ME PLS!!!! 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:

Option B

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

Step-by-step explanation:

we know that

A relationship between two variables, x, and y, represent a proportional variation if it can be expressed in the form $k=\frac{y}{x}$ or $y=kx$

In a proportional relationship the constant of proportionality k is equal to the slope m of the line and the line passes through the origin

In this problem the only linear function that passes through the origin is

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

where

The constant of proportionality is k=3/4