Question

There are two equations: 4Y = 3X and 12Y = 9X. What equation describes proportional relationship? What is the constant of proportionality?

Answer 1

Answer: The equation that describes proportional relationship is y = 0.75x

Constant of proportionality is 0.75

Step-by-step explanation:

4y = 3x

Divide both sides by 4 to get the value of y

y = 3x/4

12y = 9x

Divide both sides by 12 to get the value of y

y = 9x/12 divide the numerator and denominator by a common value of 3

y= 3x/4

y = 0.75x

The equation that describes proportional relationship is y = 0.75x, meaning y is inversely proportional to x, as x increases, y also increases.

Constant of proportionality is 0.75

I hope this helps.