Question

The networking organization you joined is throwing a party. You are in charge of buying the chips, which cost $2.50 per bag and salsa, which costs $4 per jar. The chips & salsa budget you are given totals $60. The inequality 2.5x + 4y less than or equal to 60 represents the possible combinations of chips (x) and salsa (y) you can buy.

Which of the following does not represent a solution to the inequality?

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

Answer 1

D

Explanation:

I would say it's D and i got it right on my test.

Answer 2

The given inequality is 2.5x + 4y ≤ 60. x is the bags of chips and y is the jars of salsa,

Replace x and y in the equation with the possible answers and solve:

A) 10 chips and 2 salsas:

2.5(10) +4(2) = 25 + 8 = 32 This is less than 60 so is a solution.

B) 20 chips, 2 salsas:

2.5(20) + 4(2) = 50 + 8 = 58, this is less than 60 so is a solution.

C) 14 chips, 5 salsas:

2.5(14) + 4(5) = 35 + 20 = 55, this is less than 60 so is a solution.

D) 18 chips , 6 salsas:

2.5(18) + 4(6) = 45 + 24 = 69, this is greater than 60 so is not a solution.

18 bags of chips and 6 jars of salsa is not a solution.