Jamie and stella are saving money to sign up for a school trip to washington, d. c. in order to sign up for the trip, they must pay $600 upfront. jamie earns his money by washing cars for $25 each. stella earns her money by making pecan pies for $15 each. jamie earns more money than stella does because stella only has enough supplies to make 40 pies. let latex: xx represent the number of cars jamie washes. let latex: yy represent the number of pies stella makes. part 1: write a constraint (an inequality) to represent how much money jamie needs for his trip. part 2: write a constraint (an inequality) to represent how much money stella needs for her trip. part 3: write a constraint (an inequality) to represent the relationship between jamie's earnings and stella's earnings

   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.

Jim has run 5/6 of a mile so far. i hope that answers your question! good luck : )

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