Suppose y varies directly with x. Write a direct variation equation that relates x and y. Then graph the equation.
y=6.5 when x =1.3
The equation of variation is y
= kx, where k is the constant of variation.
To find the value of k, we can substitute the given values of x and y into the equation:
6.5 = k * 1.3
Solving for k:
k = 6.5 / 1.3
k = 5
Therefore, the direct variation equation is y = 5x.
To graph this equation, we can plot the points (1.3, 6.5) and (0, 0) and draw a straight line passing through these points.
Graph:
The graph of the direct variation equation y = 5x is a straight line passing through the origin (0, 0) and the point (1.3, 6.5).