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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