Which graph shows the solution to the system of linear inequalities? x + 3y > 6 y ≥ 2x + 4

 see below

Step-by-step explanation:

x + 3y > 6

Find two points that satisfy x + 3y = 6 and draw a DASHED line through them.

It is greater than so shade the section ABOVE that line.

Using the intercept method, the two points I chose are: (0, 2) & (6, 0)

y ≥ 2x + 4

Find two points that satisfy y = 2x + 4 and draw a SOLID line through them.

It is greater than so shade the section ABOVE that line.

The two points I chose are: (0, 4) & (1, 6)

The solution is where the shaded sections overlap.

f(x) has value 150 at x= 0

and 0 at x= 3

so d(f(x))/dt = slope = -150/3 = -50