Answer: 18 bags of chips and 6 jars of salsa
Explanation:
These are the propositions missed:
10 bags of chips and 2 jars of salsa
20 bags of chips and 2 jars of salsa
14 bags of chips and 5 jars of salsa
18 bags of chips and 6 jars of salsa
Solution:
The inequality that you have to graph is:
2.5x + 4y ≤ 60
To graph that you:
1) draw the line 2.5x + 4y = 60
That is the same that:
4y = -2.5x - 60
y = - (2.5/4)x - 60/4
y = -0.625x - 15
That is a line with y-intercept 15 and x-intercpet 15/0.625 = 24.
So, use those two points (0,15) and (24,0) to draw the line.
The sign ≤ implies that the region of solution is below the line (of course in the first quadrant, because x ≥ 0 and y ≥ 0).
The pair (18,6) is not inside the region (it is aboe the line).
You can prove it:
2.5(18) + 4 (6) = 45 + 24 = 69 which is greater than 60, and so it does not fit into the inequality. This is, the money to spend on 18 bags of chips and 6 jars of salsa exceeds the budget of $60. That is why that option is not a solution.
