Luca is helping his grandmother, Nonna Lucia, plant tomatoes and cucumbers in her garden. She says the ratio of tomato plants to cucumber plants should be at least 3 to 1 so she'll never run out of tomatoes for spaghetti sauce. She also wants at most 36 plants in all.
Graph a system of inequalities that represents this story. One inequality should represent the ratio of tomato plants to cucumber plants, and the other inequality should represent the total number of plants.
Select a line to change it between solid and dotted. Select a region to shade it.
Let x be the number of tomato plants and y be the number of cucumber plants.
The ratio of tomato plants to cucumber plants should be at least 3 to 1:
x/y ≥ 3
The total number of plants should be at most 36:
x + y ≤ 36
Graph:
1. x/y ≥ 3 (solid line, shaded above)
2. x + y ≤ 36 (solid line, shaded below)