Question

The equation 3y=5x represents a proportional relationship. what is the constant of proportionality for this relationship

Answer 1

The constant of proportionality for this relationship is  $\frac{5}{3}$

Step-by-step explanation:

Proportional relationship is the relation between two variables that vary directly with each other

• If x and y are proportion, then y = k x, where k is the constant of proportionality
• If x and y are proportion, then $\frac{y}{x}=k$, where k is the constant of proportionality

∵ The equation is 3 y = 5 x

∵ x and y are proportional

- That means y = k x, where k is the constant of proportionality

∴ Put the equation in the form y = k x

- Divide both side by the coefficient of y

∵ The coefficient of y is 3

∴ Divide both sides of the equation by 3

∴ y = $\frac{5}{3}$ x

-  The value $\frac{5}{3}$  is constant

∴ k =  $\frac{5}{3}$

∵ k represents the constant of proportionality

∴ The constant of proportionality =  $\frac{5}{3}$

The constant of proportionality for this relationship is  $\frac{5}{3}$

Learn more:

You can learn more about the proportional relationship in brainly.com/question/10708697

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