SOLUTION: If y varies directly with x and x increases by 2, is it possible to determine by how much y increases or decreases? Explain.

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Question 562634: If y varies directly with x and x increases by 2, is it possible to determine by how much y increases or decreases? Explain.
Answer by issacodegard(60) About Me  (Show Source):
You can put this solution on YOUR website!
If y varies directly with x, then y(x)=kx for some real number k. If x increases by 2, then we have y(x+2)=k(x+2)=kx+2k=y(x)+2k
So, we see that if x increases by 2, y increases by 2k.