Select the option that can substitute the bracketed word segment meaningfully.
If you behave well and exhibit good manners, then (people will be likely to remember you) in a positive way.

The correct option is people are likely to remember you.

Explanation:

In the original sentence, the phrase "people will be likely to remember you" is grammatically redundant. The modal verb "will" is unnecessary when paired with the expression "be likely to", which already indicates future probability or likelihood.

The correct structure to express probability in the present/future condition is using the simple present form of the verb to be ("are") followed by likely + to-infinitive ("to remember"):

Subject ("people") + present form of 'be' ("are") + likely + to-infinitive ("to remember") + object ("you")

Comparing the options:

1. people likely you remember – Incorrect due to missing auxiliary verb and improper sentence structure.
2. people will like in remember – Incorrect grammar and wrong preposition.
3. people are likely to remember you – Correct, concise, and grammatically accurate.
4. people are like remember you – Incorrect structure ("like" instead of "likely to").

Therefore, replacing the bracketed segment with people are likely to remember you makes the sentence grammatically sound and meaningful.