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

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

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

Steps: 5

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'.