Question

d. the function describes a proportional relationship. its graph passes through the point (3, 7).

Explanation:

Step1: Recall proportional form

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

Step2: Substitute point (3,7)

Substitute $x=3$, $y=7$ into $y=kx$:
$7=k\times3$

Step3: Solve for k

Rearrange to solve for $k$:
$k=\frac{7}{3}$

Step4: Write final function

Substitute $k=\frac{7}{3}$ back into $y=kx$:
$y=\frac{7}{3}x$

Answer:

$y=\frac{7}{3}x$