Question

representing proportional relationships
proportional relationships can be represented by
the equation $y=kx$
$y=3x$
$y=-1.5x$
$y=\frac{2}{3}x$
which of these are examples of a proportional
relationship? check all that apply.
$y = 25x + 10$
$y = 25x$
$y=0.3x$
rewatch

Explanation:

Step1: Recall proportional form

A proportional relationship follows the form $y=kx$, where $k$ is a constant, and there is no added constant term.

Step2: Analyze each option

• For $y=25x + 10$: Has an added constant $10$, so not proportional.
• For $y=25x$: Matches $y=kx$ with $k=25$, so proportional.
• For $y=0.3x$: Matches $y=kx$ with $k=0.3$, so proportional.

Answer:

• $y=25x$
• $y=0.3x$