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 bottles12 cans and 40 bottles8 cans and 120 bottles9 cans and 70 bottles
Accepted Solution
A:
we have that We will analyze each case to verify the answer see the attached figure
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 8 cans and 120 bottles 9 cans and 70 bottles