Answer:
x + 4y ≥ 15; y ≥ 0
Step-by-step explanation:
The solid line signifies it is a ≤ or ≥.
The equation of the line joining 0, 3.75 and 15, 0 is gotten using the formula:
[tex]y-y_1=\frac{y_2-y_1}{x_2-x_1}(x-x_1)\\\\Substituting:\\\\y-3.75=\frac{0-3.75}{15-0}(x-0)\\\\ y-3.75=-\frac{1}{4}x\\\\y=-\frac{1}{4}x+3.75\\\\4y=-x+15\\\\4y+x=15[/tex]
Since the first and second quadrant are shaded, this represents y ≥ 0.
Also, above the solid line of 4y + x = 15 is shaded, this represents 4y + x ≥ 15.
Hence the inequality modeled is x + 4y ≥ 15; y ≥ 0
