Question

which equation has a constant of proportionality equal to 2?
choose 1 answer:
a ( y = \frac{10}{5}x )
b ( y = \frac{2}{2}x )
c ( y = \frac{2}{4}x )
d ( y = \frac{22}{2}x )

Explanation:

Step1: Recall proportionality form

A proportional equation is $y = kx$, where $k$ is the constant of proportionality. We need $k=2$.

Step2: Simplify Option A

Simplify the coefficient: $\frac{10}{5}=2$. So $y=2x$, $k=2$.

Step3: Verify other options

Option B: $\frac{2}{2}=1$, $k=1$. Option C: $\frac{2}{4}=0.5$, $k=0.5$. Option D: $\frac{22}{2}=11$, $k=11$.

Answer:

A. $y = \frac{10}{5}x$