To fix food is much more casual. The people speaking would be very friendly. The food would be simple, not fancy. Example: I'll fix hot dogs with beans for supper. Preparing food is more polite and the food would be more fancy. There made be more work involved and better ingredients. Example: The daughters helped their mother prepare food for the party. I understand both and both could be used but one is fancy and one is casual. I think it would sound unusual to say, "I fixed our holiday meal." This meal is too special for "Fixed". I would not say, "I prepared a bowl of cereal." Cereal is so simple and boring that "Prepare" would be incorrect and funny.

You can use both phrases, however there is a VERY slight difference in nuance. Whenever we already have the ingredients made and all one has to do is to heat the food, that would lean more towards preparing the food. To make the food could cover everything in preparing, but is especially used whenever we have to make something from scratch. I wish you and yours a pleasant New Year!

They all mean the same thing. For festivals I'm going to guess "prepare" is more common but they are all the same

Hello, They all mean the same thing. You have the freedom to choose which one to use whenever. Regards

Hello Angela. The element of formality is okay. You do however have to remove the up after the word promoting. You can alternatively use another word for take up like engage. The sentence will be: While promoting the construction of sport centers may push people to engage in physical activities, it will not motivate them in the long run. I hope this is clear.