Final answer:
A business administrator would likely be interested in planning employee work schedules, typing memos and letters, and writing facts, procedures, and instructions, as these tasks are aligned with the management and operation of a business. Sales and fitness instruction are generally not within the realm of business administration responsibilities.
Step-by-step explanation:
In the context of a business administrator's interests, they would typically be involved in tasks that pertain to the management and operation of a business. This can often include B-planning employee work schedules, which is crucial for ensuring that the business is staffed appropriately and that operations run smoothly. Additionally, business administrators would likely be involved in C-typing memos and letters, as communication within and outside of the company is a key component of maintaining business operations and relationships. Lastly, they would certainly be interested in D-writing facts, procedures, and instructions because these documents are essential for consistent operations and serve as guidelines for employees within the organization. Conversely, A, convincing someone to purchase a project, is typically associated with sales roles, although it could intersect with some administrative roles depending on the company structure. E, working with clients as a fitness instructor, would not generally fall under the responsibilities of a business administrator, as it is more aligned with healthcare or personal services.