Many problems exist in our lives. Above all, our team aims to solve school problems. A member of our team uses the Sports Center, and after hearing about the Sports Center from him, we became interested in the problems with it and researched how to solve these problems. We gathered data by visiting the Sports Center and conducting an interview with one of their office workers. We applied our data to a spreadsheet and used an algebraic formula to calculate the needs of the Sport Center. In conclusion, the Sports Center needs ten treadmills, two bicep curl machines, four chest press machines, and one leg extension machine. We also calculated that the total cost would be 55.1 million won. Our thorough investigation of the Sports Center found that the operating revenue would be over 9 billion won each semester, so, overall, the cost of 55.1 million won seems insignificant. We realized that abstract problems can be solved by using algebraic formulas and linear programming. We hope current and future students can use the Sports Center more than before to improve their health. (I hope this helped.)

From what I know there is no semantic difference between いく and ゆく, but いく tends to be used more for regular speech and is the more formal of the two, while ゆく is very prevalent in music and poetry and is less conversational. I believe ゆく is used most songs to get the rhyme just right or keep rhythm. But other than that they mean the same thing.

These quotes do seem a bit out of context but I'll try my best. "The classroom is often called an artificial environment for learning and using a foreign language." - This sentence is trying to explain is that classrooms are an environment (environment means place) that is made (artificial means not real) for learning and using a foreign language. "If we take as our yardstick for what is 'real' the situations outside the classroom for which learners are being prepared, this is undoubtedly the case." - When we say "as our yardstick", what we means is that we are comparing two things. In this case, we are comparing the situations that are being "made" in the classroom to real situations that would happen outside of the class room. And I think what the end of the second sentence is saying is that if you teach someone to deal with a situation they might encounter outside the classroom then the "artificial environment" is truly doing what it supposed to be doing.