⦁ Determine if the equation represents a direct variation. .8x = 1.6y ⦁ Suppose y varies directly with x. Write a direction variation equation that relates x and y. Then find the value of y when x = 12. y=5 when x=2. ⦁ For the data in the table, does y vary directly with x? If it does, write an equation for the direct variation. X Y -6 9 1 -1.5 8 -12 ⦁ For the data in the table, does y vary directly with x? If it does, write an equation for the direct variation. X Y -2 1 3 6 8 11
It can be seen that the equation above satisfies all the rows of the given table, therefore, y varies with x for the data in the question and the equation for the direct variation is [tex]y=-\frac{3}{2}x[/tex]
It can be seen that the equation above does not satisfies the other rows of the given table, therefore, y does not vary with x for the data in the question.