10m3 of air weigh 13 kg.The weight of air is directly proportional to its volume. Find the constant of variation; it is called densityThe constant of variation is __ kg per m3

The constant of variation is 1.3 kg per m³Step-by-step explanation:Direct variation is when one variable is equal to a constant times another variable, with no additions or subtractions alongsideIf y is directly proportional with x, theny ∝ xy = k x, where k is the constant of variationThe 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 = 1.3The constant of variation is 1.3 kg per m³Learn more:You can learn more about direct and inverse proportion in brainly.com/question/10708697 #LearnwithBrainly