Answer:
Correct answer is C. Secure the rights to build a canal through Central America.
Step-by-step explanation:
C is the correct answer as from the end of 19th Century United States started supporting many investment projects in Central America, including Panama. Therefore, they believed that Revolution in Panama would allow their larger influence in that area, including the building of famous Panama Canal.
All other options are not correct as they are not related with Panama, although in different areas and periods those were goals of American government.