0
Hours worked
1
2
3
4
Dollars Earned
10
20
30
40
If John earns $10.00 an hour, the above table shows the relationship between hours worked and dollars earned. From this table, we can see that dollars earned is equal to hours worked multiplied by 10.
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Is the problem y equals 3x a direct variation if so what is the constant of variation?
y=3x is a direct variation in that y varies directly with x by a factor of 3. Any linear equation (a polynomial of degree 1, which is a polynomial equation with a highest exponent of 1), is a direct variation of y to x by some constant, and this constant is simply the coefficient of the "x" term. Other examples: y=(1/2)x is a direct variation, and the constant of variation is 1/2 y=-9x is a direct variation, and the constant of variation is -9
What are some examples of direct variation with regards to real life?
Speed and distance: the faster you go, the further you can go in a fixed amount of time.
When two quantities form a direct variation what is it called?
A direct variation (!) or direct reelationship.
Is y equals 2x plus 5 a direct variation if so what is the constant of variation?
No, it is not a direct variation.
Does every linear equasion represent a direct variation relationship?
I have recently been doing all these direct variation problems but not every linear relationship is a direct variation... But every direct variation is a linear relation!
