For the data in the table, does y vary directly with x? If it does, write an equation for the direct variation.
X
4.5
7.5
10.5
Y
3
5
7
Does y vary directly with x?
If yes, write an equation for the direct variation:
Yes, y varies directly with x.
To determine the equation for direct variation, we look for a constant ratio between y and x.
The ratio between y and x in this case is always 2/3.
So, the equation for direct variation is:
y = (2/3)x