Why is it important to declare variables in Karel programming?

Declaring variables in Karel programming is crucial because it provides a way to store and manage data within the program. Variables act as containers for information that can change during the execution of a program. This allows the program to perform calculations, make decisions based on different conditions, and maintain state throughout the execution. For example, you might use a variable to keep track of how many beepers Karel has picked up, which then influences subsequent actions. By organizing and managing data through variables, the program becomes more flexible, efficient, and easier to understand. Additionally, it enhances the program's ability to interact with dynamic environments, allowing Karel to respond appropriately to various scenarios.