For the data in the table, does y vary directly with x? If it does, write an equation for the direct variation.

Question

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:

Answer 1

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