A system of inequalities is graphed below. The variable x represents the number of cans someone is buying, and y represents the
number of bottles. Conditions on the maximum amount of total weight and volume lead to two of the inequalities. Which descriptions correspond to solutions of this system?
7 cans and 140 bottles
12 cans and 40 bottles
8 cans and 120 bottles
9 cans and 70 bottles
We have that <span>We will analyze each case to verify the answer see the attached figure
</span>Point A) 7 cans and 140 bottles------------> (x,y)=(7,140)----> is not solution Point B) 12 cans and 40 bottles------------> (x,y)=(12,40)----> is not solution Point C) 8 cans and 120 bottles------------> (x,y)=(8,120)----> is a solution Point D) 9 cans and 70 bottles------------> (x,y)=(9,70)-------> is a solution
the answer is the solutions are <span>8 cans and 120 bottles 9 cans and 70 bottles</span>