Question

the paired values in the table represent a proportional relationship. find the constant of proportionality.
x - value: 3, 6, 7, 9
y - value: 15, 30, 35, 45
enter your answer in the box.

Explanation:

Step1: Recall proportionality formula

For a proportional relationship, $y = kx$, where $k$ is the constant of proportionality. Rearranged, $k = \frac{y}{x}$.

Step2: Calculate k using first pair

Use $x=3$, $y=15$:
$k = \frac{15}{3} = 5$

Step3: Verify with other pairs

Check $x=6$, $y=30$: $\frac{30}{6}=5$
Check $x=7$, $y=35$: $\frac{35}{7}=5$
Check $x=9$, $y=45$: $\frac{45}{9}=5$

Answer:

5