In a direct proportion, if the first quantity doubles, the second:

In a direct proportion, if the first quantity doubles, the second:

• A. Doubles
• B. Halves
• C. Remains the same
• D. Increases by a fixed amount

Answer: (A)

In a direct proportion, the second quantity scales with the first: y is proportional to x, so y = kx for some constant k. That means the ratio y/x stays the same no matter what x is. If the first quantity doubles, the second must also double to keep y/x = k. For example, if y = 3x, doubling x makes y become 6x, which is twice as large as before. The other options describe different relationships: halving would happen in an inverse proportion, remaining the same would mean y does not depend on x, and increasing by a fixed amount implies a linear relationship with an added constant, not a direct proportional relationship.

In a direct proportion, the second quantity scales with the first: y is proportional to x, so y = kx for some constant k. That means the ratio y/x stays the same no matter what x is. If the first quantity doubles, the second must also double to keep y/x = k. For example, if y = 3x, doubling x makes y become 6x, which is twice as large as before. The other options describe different relationships: halving would happen in an inverse proportion, remaining the same would mean y does not depend on x, and increasing by a fixed amount implies a linear relationship with an added constant, not a direct proportional relationship.