The constant of proportionality for this relationship is [tex]\frac{5}{3}[/tex]
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 [tex]\frac{y}{x}=k[/tex], 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 = [tex]\frac{5}{3}[/tex] x
- The value [tex]\frac{5}{3}[/tex] is constant
∴ k = [tex]\frac{5}{3}[/tex]
∵ k represents the constant of proportionality
∴ The constant of proportionality = [tex]\frac{5}{3}[/tex]
The constant of proportionality for this relationship is [tex]\frac{5}{3}[/tex]
Learn more:
You can learn more about the proportional relationship in brainly.com/question/10708697
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