Ezra works two summer jobs to save for a laptop that costs at least $1100. He decides to adjust his rates to $250 per lawn (x) for the summer and $300 per dog (y) for the summer, and to limit himself to 2 dogs.Describe how to find a solution graphically.

Answer:

First, write the inequality 250x + 300y ≥ 1100 and graph the boundary line in the first quadrant, since the number of lawns and dogs must be non-negative. Because the laptop costs at least $1100, shade the half-plane above the line (the side that does not include the origin). Then, draw a horizontal line at y = 2 to represent the limit of 2 dogs. The solutions are the points with integer coordinates that fall within the intersection of the shaded region and the area on or below the line y = 2.