Here's the solutions :
1. solve for a :
2. solve for y :
3. solve for y :
4. solve for k :
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6. solve for x :
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a) The quantities vary directly
b) The constant of variation is 2.5
Step-by-step explanation:
Lets us revise the direct and inverse variation
- If y varies x directly, then y = kx, that means the ratio between them is constant (
) , they increased together and decreased together, k is the constant of variation
- If y varies x inversely, then yx = k, that means when x increased y must be decrease (
) k is the constant of variation
∵ 16 factory workers made 40 pieces in a certain amount of time
- If the number of worker increased, then the number of pieces
increased in the same certain time, if the number of worker
decreased, then the number of pieces also decrease in the
same certain time
∴ The the number of workers and the number of pieces produce
vary directly
∴ Number of pieces produced = k × number of worker
a) The quantities vary directly
∵ The number of worker = 16
∵ The number of pieces produced = 40
- Substitute these values in the equation of variation above
∴ 40 = k × 16
- Divide both sides by 16
∴ k = 2.5
b) The constant of variation is 2.5
Learn more:
You can learn more about variation in brainly.com/question/10708697
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