Final answer:
The relationship between the words 'care' and 'fuss' can be described as a synonym relationship. Therefore, in this analogy, the correct option is (c) object:quibble, because 'object' is a synonym for 'quibble', just like 'care' is a synonym for 'fuss'.
Step-by-step explanation:
The analogy in the question is: Care:fuss::(a) talk:whisper(b) assert:imply(c) object:quibble(d) demote:dismiss.
The relationship between the words 'care' and 'fuss' can be described as a synonym relationship. When you 'care' about something, you pay a lot of attention to it, and when you 'fuss' about something, you also pay a lot of attention to it, often with unnecessary or excessive worry or concern. Therefore, in this analogy, the correct option is (c) object:quibble, because 'object' is a synonym for 'quibble', just like 'care' is a synonym for 'fuss'.