You seem to show interest in cooking.

你看起来对烹调感兴趣。

Show interest in them by asking questions.

你可藉发问来表示你关心他们。

More and more westerners show interest in Confucianism.

越来越多的西方人对儒教产生兴趣。

But companies are beginning to show interest in the sector.

然而，已有公司开始关注该领域。

You could also show interest in the other person's holiday.

你也可以表现出对他人如何度假感兴趣。