Suppose y varies directly with x. Write a direct variation equation that relates x and y. Then graph the equation.
y=7.2 when x=1.2
To determine the direct variation equation, we can use the formula y = kx, where k represents the constant of variation.
Given that y = 7.2 when x = 1.2, we can substitute these values into the equation:
7.2 = k(1.2)
To find the value of k, divide both sides of the equation by 1.2:
k = 7.2 ÷ 1.2
k = 6
Therefore, the direct variation equation that relates x and y is y = 6x.
To graph this equation, we can choose different values of x and then calculate the corresponding values of y using the equation.
For example, when x = 0, y = 6(0) = 0.
When x = 1, y = 6(1) = 6.
Plotting these points (0, 0) and (1, 6) on a coordinate plane and connecting them with a line will give you the graph of the equation y = 6x.