MATH SOLVE

4 months ago

Q:
# 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

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