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The equation below describes a proportional relationship between x and y. What is the constant of proportionality?

y=7x

User JamHandy
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Final answer:

The constant of proportionality in the equation y=7x is 7, which is the coefficient of x in the equation, representing a direct proportional relationship between x and y.

Step-by-step explanation:

The equation given describes a proportional relationship between x and y, which is expressed as y = 7x. In such a relationship, when discussing direct proportionality, the constant of proportionality is the factor that relates the two variables. This can be represented as y = kx, where k is the constant of proportionality. In this case, the constant of proportionality is the coefficient of x in the equation, which is 7. Therefore, whenever x changes, y will change by seven times that amount. This means that if x is doubled, y will also double. The graph of this relationship would be a straight line passing through the origin, confirming the direct proportionality.

User Todd
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