Answer:You're looking at direct proportions, where one variable changes directly in relation to another. Here's how to solve them: 1. y = 12, x = 3, y = ?, x = 4 - Understanding the Relationship: As 'x' increases, 'y' also increases.- Finding the Constant: Divide 'y' by 'x' in the initial condition: 12 / 3 = 4. This is the constant of proportionality.- Calculating New 'y': Multiply the new 'x' value by the constant: 4 * 4 = 16 Answer: y = 16 2. y = 40, x = 2, x = ?, y = 1 - Understanding the Relationship: As 'y' decreases, 'x' also decreases.- Finding the Constant: Divide 'y' by 'x' in the initial condition: 40 / 2 = 20.- Calculating New 'x': Divide the new 'y' value by the constant: 1 / 20 = 0.05 Answer: x = 0.05
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