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In a certain mathematical model, if 'x' is directly proportional to 'y', which o

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Question: In a certain mathematical model, if \'x\' is directly proportional to \'y\', which of the following equations represents this relationship?

Options:

  1. x = ky
  2. y = kx
  3. x + y = k
  4. xy = k

Correct Answer: x = ky

Solution: 

The relationship of direct proportionality is represented by the equation x = ky, where k is a constant.

In a certain mathematical model, if 'x' is directly proportional to 'y', which o

Practice Questions

Q1
In a certain mathematical model, if 'x' is directly proportional to 'y', which of the following equations represents this relationship?
  1. x = ky
  2. y = kx
  3. x + y = k
  4. xy = k

Questions & Step-by-Step Solutions

In a certain mathematical model, if 'x' is directly proportional to 'y', which of the following equations represents this relationship?
  • Step 1: Understand what 'directly proportional' means. It means that as one value increases, the other value also increases at a constant rate.
  • Step 2: Identify the variables involved. Here, 'x' is directly proportional to 'y'.
  • Step 3: Recall the formula for direct proportionality. The formula is x = k * y, where 'k' is a constant that represents the rate of proportionality.
  • Step 4: Recognize that in this relationship, if you know the value of 'y', you can find 'x' by multiplying 'y' by the constant 'k'.
  • Step 5: Conclude that the equation x = ky correctly represents the relationship of direct proportionality between 'x' and 'y'.
  • Direct Proportionality – A relationship where one variable is a constant multiple of another, typically expressed as x = ky.
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