Final answer:
The primary purpose of a context menu in a GUI is to offer right-click options that are specific to the element the user is interacting with, such as adjusting resolution and compression of digital photos.
Step-by-step explanation:
In a graphical user interface (GUI), the primary purpose of a "context menu" is to present options that are relevant to the current context or element that the user is interacting with. Among the provided options, Option 3: Offering right-click options is correct. Context menus appear when a user right-clicks on a GUI element and display a list of actions that can be performed specifically on that element.
For example, if you right-click an image on a digital camera's GUI, the context menu may offer options to delete the photo, view its properties, or set the resolution and compression settings. These settings are important because they determine the quality and file size of the photos. Professionals might opt for no compression to maintain the highest quality, whereas a general user might prefer a balance between quality and file size for easier sharing and storage.