Sangeetha Pulapaka
0

The graph shows the x-intercept at (20,0).  It also shows point (14,4) on the line. This means that these points are solutions to the given equation.

Let us see how (20,0) and (14,4) are solutions to the given equation.

The equation is 4c + 6v = 80. If c is the number of cars, and v is the number of vans, and If the number of vans is zero, then 4c = 80 or c = 20.  So  (20,0) is the x-intercept or the solution to the line.

If the number of cars is 14, and the number of vans is 4, plug in (14,4) in the equation to get 4\cdot 14 + 6 \cdot 4 = 56+24 = 80. So (14,4) is a solution of the line and as evident from the graph lies on the line itself.

So, the given graph represents the equation.