Question

10 the table below shows a proportional relationship between $x$ and $y$. what is the constant of proportionality for the relationship between $x$ and $y$? a 0.25 b 0.50 c 1.50 d 1.75

Explanation:

Step1: Recall proportionality formula

For a proportional relationship, $y = kx$, so $k = \frac{y}{x}$

Step2: Calculate k using first pair

Use $x=0.50$, $y=0.750$:
$\frac{0.750}{0.50} = 1.50$

Step3: Verify with second pair

Use $x=1.25$, $y=1.875$:
$\frac{1.875}{1.25} = 1.50$

Step4: Verify with third pair

Use $x=3.00$, $y=4.500$:
$\frac{4.500}{3.00} = 1.50$

Step5: Verify with fourth pair

Use $x=6.75$, $y=10.125$:
$\frac{10.125}{6.75} = 1.50$

Answer:

C 1.50