Question

the table below shows a relationship between x and y.

x	y
3	24
7	56
11	88
15	120

what is the constant of proportionality?
a. 8
b. 24
c. 4
d. 3

Explanation:

Step1: Recall proportionality formula

For proportional $y=kx$, $k=\frac{y}{x}$.

Step2: Calculate k using first non-zero pair

$x=3,y=24$: $k=\frac{24}{3}=8$.

Step3: Verify with other pairs

$x=7,y=56$: $\frac{56}{7}=8$; $x=11,y=88$: $\frac{88}{11}=8$.

Answer:

A. 8