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.