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10m3 of air weigh 13 kg.

The weight of air is directly proportional to its volume. Find the constant of variation; it is called density

The constant of variation is __ kg per m3

Respuesta :

Ashraf82

The constant of variation is 1.3 kg per m³

Step-by-step explanation:

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

another variable, with no additions or subtractions alongside

If y is directly proportional with x, then

  • y ∝ x
  • y = k x, where k is the constant of variation
  • The graph of the variation is a line passes through the origin

∵ The weight of air is directly proportional to its volume

∴ The weight (w) ∝ the volume (v)

∴ w = k v

∵ w = 13 kg

∵ v = 10 m³

- Substitute these values in the rule of variation above to find k

∴ 13 = k (10)

∴ 13 = 10 k

- Divide both sides by 10

∴ k = 1.3

The constant of variation is 1.3 kg per m³

Learn more:

You can learn more about direct and inverse proportion in brainly.com/question/10708697

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