Answer :
Answer:
A) 6c + 8k β₯ 2800
6c β₯ 2800
8k β₯ 2800
B) Yes.
C) They will need to sell less items.
Step-by-step explanation:
Given information
- Pretzels = $6 per container.
- Kettle Corn = $8 per container.
Definition of variables
- Let c be the number of chocolate-covered pretzel containers sold.
- Let k be the number of kettle corn containers sold.
Part A
If the group wants to sell at least $2,800 worth of items, the three inequalities to represent this will be:
Inequality 1
A combination of both items:
- 6c + 8k β₯ 2800
Inequality 2
The sale of pretzels only:
- 6c β₯ 2800
Inequality 3
The sale of kettle corn only:
- 8k β₯ 2800
Part B
Given:
- Selling 150 containers of pretzels β Let c = 150.
- Selling 250 containers of kettle corn β Let k = 250.
Substitute these values into the first inequality found in part A:
β 6(150) + 8(250) β₯ 2800
β 900 + 2000 β₯ 2800
β 2900 β₯ 2800
As $2,900 is greater than $2,800, the group reached (and exceeded) their goal.
Part C
If the price increases by $2 for each item, they will need to sell less items to reach their goal.