Question

1. the variables x and y are proportional. write an equation that relates x and y. when y = 72, x = 3. y = \square

Explanation:

Step1: Recall proportional relationship form

Proportional variables follow $y = kx$, where $k$ is the constant of proportionality.

Step2: Solve for $k$ using given values

Substitute $y=72$ and $x=3$:
$72 = k \times 3$
$k = \frac{72}{3} = 24$

Step3: Substitute $k$ back into the equation

Replace $k$ in $y=kx$ with 24.

Answer:

$y = 24x$