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:
Based on the given data in the table, we can see that y does vary directly with x.
To find the equation for the direct variation, we can use the formula for direct variation, which is y = kx, where k is the constant of variation.
Let's find the value of k using the first pair of values in the table (4.5, 3):
3 = k * 4.5
Dividing both sides by 4.5, we get:
k = 3/4.5 = 2/3
Therefore, the equation for the direct variation is:
y = (2/3)x