Question

suppose y varies directly with x, an dy = 10 when x =3. what direct variation equations relates x and y?

Answer 1

The direct variation equation relates x and y is y = $\frac{10}{3}$ x

Step-by-step explanation:

Direct variation is when one variable is equal to a constant times another variable

If y varies directly with x, then

• y ∝ x
• y = k x is the equation of variation
• k is the constant of variation

∵ y varies directly with x

∵ y ∝ x

∴ y = k x

∵ y = 10 when x = 3

- Substitute these values in the equation above to find k

∴ 10 = k(3)

∴ 10 = 3 k

- Divide both sides by 3

∴ k = $\frac{10}{3}$

∴ The equation of variation is y = $\frac{10}{3}$ x

The direct variation equation relates x and y is y = $\frac{10}{3}$ x

Learn more:

You can learn more about variation in brainly.com/question/10708697

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