What is an example of direct proportionality?

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Direct proportionality is expressed mathematically as y = Ax, where A is a constant. The relationship indicates that as x increases, y also increases, maintaining a constant ratio of y to x. A common misunderstanding is that A must always be a positive constant greater than 1, but this is incorrect; A can be any positive constant. If A is less than 1, y and x remain directly proportional, while an inverse relationship occurs if y = A/x. Understanding these distinctions is crucial for correctly identifying proportional relationships.
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directly proportional? can anyone give an example of it?


thanks alot!
 
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y and x are directly proportional, A is a constant.

y = Ax

\frac{y}{x} = A
 
Right. This is represented as y\propto x.
 
thanks! :smile:
 
Careful. Make sure A is not a positive constant < 1. Otherwise you will get that they are inversely proportional.
 
cyby said:
Careful. Make sure A is not a positive constant < 1. Otherwise you will get that they are inversely proportional.


hi cyby! what you mean with that? do you mean that A must always be a positve number if not it will be inversely proportional? :cry:
 
cyby said:
Careful. Make sure A is not a positive constant < 1. Otherwise you will get that they are inversely proportional.

No, that's not true. It's still a direct proportion. y and x are inversely proportional if y=A/x.
 
Uh, you are right. Sorry, was thinking about something else completely.
 
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