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3 years ago

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

Mathematics

1 answer:

Citrus2011 [14]3 years ago

4 0

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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(w - 3)2 = -5w - 4 + 9w<br><br>

alukav5142 [94]

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