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For two quantities x and y, if is always a constant multiple of x, then they have an

A) Inverse relationship.

B) Exponential relationship.

C) Direct proportionality.

D) Logarithmic relationship.

1 Answer

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Final answer:

Two quantities x and y that are always a constant multiple of one another display Direct proportionality, characterized by the equation y = kx, where k is a constant, and their relationship forms a straight line through the origin on a graph.

Step-by-step explanation:

For two quantities x and y, if y is always a constant multiple of x, then they have a Direct proportionality. This means that as x increases or decreases, y will also increase or decrease respectively in such a way that the ratio of y to x remains constant. The relationship between x and y can be represented by the equation y = kx, where k is the proportionality constant. When plotting this relationship on a graph, you would see a straight line that passes through the origin (0, 0). This is because in direct proportion, the change in x is always matched by a proportional change in y.

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