To determine the appropriate inequality for the scenario presented, let's break it down:
- Total cookies: 120
- Cost of supplies: $22
- Goal for profit: at least $50
The total income from selling the cookies is given by the price per cookie (p) multiplied by the number of cookies, which is 120p. To find the profit, we subtract the cost of supplies from the total income:
Profit = Total Income - Cost = 120p - 22.
To meet the goal of making at least $50 in profit, the inequality becomes:
120p - 22 ≥ 50.
Thus, the correct response for Question 1 is:
120p - 22 ≥ 50.
For Question 2, we need to solve the inequality to find the minimum price per cookie (p) the class should sell the cookies for:
Starting from:
120p - 22 ≥ 50
- Add 22 to both sides:
120p ≥ 72
- Divide both sides by 120:
p ≥ 72/120
- Simplifying 72/120 yields:
p ≥ 0.60.
Therefore, the class should sell each cookie for at least $0.60.