Respuesta :
Answer:
- Part 1: 25x ≥ 600
- Part 2: 15y ≥ 600
- Part 3: y ≤ 40
Explanation:
Verbal statements must be translated into algebraic expressions, equations or inequalities.
1. Money earned by Jamie washing cars for $25 each
Let x represent the number of cars Jaime washes.
- 25x
2. Money earned by Stella making pecan pies for $15 each
Let y represent the number of pies she makes
- 15y
3. Constraint on the number of pies that Stella can make because she only has enough supplies to make 40 pies.
Write an inequality using the symbol ≤, since y can take any integer value up to 40.
- y ≤ 40
4. First question:
Part 1: Write a constraint (an inequality) to represent how much money Jamie needs for his trip
- 25x ≥ 600
5. Second question:
Part 2: Write a constraint (an inequality) to represent how much money Stella needs for her trip.
- 15y ≥ 600
6. Third question
Part 3: Write a constraint (an inequality) to represent the limitations of Stella's supplies.
From step # 3
- y ≤ 40
7. Conclusion
You can solve the inequalities fo find whether Stella can or not afford the trip:
Solve for the inequalities that represent Stella's situation:
- 15y ≥ 600
- y ≥ 600 / 15
- y ≥ 40
- From step 6: y ≤ 40
The solution set is the intersection of the two solutions:
- y ≥ 40 ∩ y ≤ = 40 = 40.
- Interpretation: Stella will be able to make 40 pies, which represents a revenue of $ 15 / pie × 40 pie = $ 600, so she will be able to make the trip.