The networking organization you joined is throwing a party. you are in charge of buying the chips, which cost two dollars and fifty cents per bag and salsa, which costs four dollars per jar. the chips & salsa budget you are given totals $60. the inequality 2.5x + 4y 60 represents the possible combinations of chips (x) and salsa (y) you can buy. graph of the inequality 2.5 x plus 4 y is less than or equal to 60 which of the following does not represent a solution to the inequality?

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.