For the data in the table, does y vary directly with x? If it does, write an equation for the direct variation.
X
5
8
9
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 find the equation for direct variation, we can use the formula y = kx, where k is the constant of variation.
To find k, we can choose any pair of x and y values and substitute them into the equation. Let's use the first pair (5, 3):
3 = k * 5
Dividing both sides of the equation by 5, we get:
k = 3/5
So, the equation for direct variation is:
y = (3/5)x