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Serggg [28]
4 years ago
7

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

Mathematics
1 answer:
Ratling [72]4 years ago
8 0

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

#LearnwithBrainly

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