Amy is making a fruit salad for a potluck at work. She can spend at most $25 on fruit. Watermelon costs 2.25 per pound and bananas cost 1.50 per pound. She will need at least 5 pounds of fruit for her salad.

Which system of inequalities can be used to determine the pounds of watermelon, x, and the pounds of bananas, y, Amy bought?
A.x + y > 5
2.25x + 1.50y < 25
B.x + y ≥ 25
2.25x + 1.50y ≤ 5
C.x + y ≥ 5
1.50x + 2.25y ≤ 25
D.x + y ≥ 5
2.25x + 1.50y ≤ 25

To determine the pounds of watermelon, $ x $, and the pounds of bananas, $ y $, Amy bought, we need to set up a system of inequalities based on the conditions:

1. **Total Pounds of Fruit Requirement**:
   - Amy needs at least 5 pounds of fruit, so the inequality for the total weight is:
     \[
     x + y \geq 5
     \]

2. **Total Cost Constraint**:
   - Amy can spend at most $25, where watermelon costs $2.25 per pound and bananas cost $1.50 per pound. Therefore, the cost inequality is:
     \[
     2.25x + 1.50y \leq 25
     \]

So, the correct system of inequalities is:
\[
x + y \geq 5
\]
\[
2.25x + 1.50y \leq 25
\]

### Answer:
The correct choice is **D**. 

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Would you like further clarification on this problem or help with solving specific values of $ x $ and $ y $?

Here are some related questions to explore this topic further:

1. How would the system change if Amy needed at least 10 pounds of fruit?
2. What would happen if watermelon cost $3 per pound instead?
3. How would you graph this system of inequalities?
4. If Amy spends exactly $25, how much of each fruit can she buy?
5. What if bananas cost $2.25 per pound and watermelon $1.50 per pound?

**Tip:** When setting up inequalities, always align each inequality with the real-world constraints (like cost or weight) to ensure accuracy.

Amy is making a fruit salad for a potluck at work. She can spend at most $25 on fruit. Watermelon costs 2.25 per pound and bananas cost 1.50 per pound. She will need at least 5 pounds of fruit for her salad.

Which system of inequalities can be used to determine the pounds of watermelon, x, and the pounds of bananas, y, Amy bought?
A. x + y > 5, 2.25x + 1.50y < 25
B. x + y ≥ 25, 2.25x + 1.50y ≤ 5
C. x + y ≥ 5, 1.50x + 2.25y ≤ 25
D. x + y ≥ 5, 2.25x + 1.50y ≤ 25

Learn how to determine the correct system of inequalities for Amy's fruit salad recipe based on weight and cost constraints. This problem involves setting up and solving systems of inequalities with real-world applications. Suitable for students in Grades 8-10.

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