A bag contains 10 marbles. Four of them are red, three blue, two white, and one yellow. A marble is drawn at random. What is the
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The constant of proportionality for this situation is 425
Step-by-step explanation:
When a quantity is inversely proportional with another quantity, then
the product of the two quantities is constant
1. If y is inversely proportional with x
2. Then y ∝
3. that mean y = where k is the constant of variation
4. Then xy = k
∵ In physics, Boyle’s law states that if the temperature is constant
∵ The pressure, P, of a gas is inversely proportional to the volume,
V, of the gas
∴ P ∝
∴ P =
∵ The pressure of the gas in a cylinder is equal to 250 kilo pascals
∵ The volume of the container is 1.7 cubic meters
- Substitute these values in the rule of variation to find k
∴ 250 =
- Multiply both sides by 1.7
∴ k = 425
The constant of proportionality for this situation is 425
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