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

Question

x y
2 10
4 24
6 36

Answer 1

Yes, y varies directly with x.

To find the equation for the direct variation, we can use the formula y = kx, where k is a constant.

From the table, we can see that when x = 2, y = 10. Plugging these values into the equation, we get:

10 = k(2)

Solving for k, we divide both sides by 2:

k = 10/2
k = 5

Now that we have k, we can write the equation for the direct variation:

y = 5x