Question

constant of proportionality from equations
which equation has a constant of proportionality equal to 5?
choose 1 answer:
a (y = 5x)
b (y=\frac{10}{5}x)
c (y=\frac{5}{25}x)
d (y=\frac{1}{2}x)

Explanation:

Step1: Recall proportional - equation form

The equation of a proportional relationship is $y = kx$, where $k$ is the constant of proportionality.

Step2: Analyze option A

For the equation $y = 5x$, the coefficient of $x$ is $k = 5$.

Step3: Analyze option B

For the equation $y=\frac{10}{5}x=2x$, the constant of proportionality $k = 2$.

Step4: Analyze option C

For the equation $y=\frac{5}{25}x=\frac{1}{5}x$, the constant of proportionality $k=\frac{1}{5}$.

Step5: Analyze option D

For the equation $y=\frac{1}{2}x$, the constant of proportionality $k=\frac{1}{2}$.

Answer:

A. $y = 5x$