Welcome to the mathemetical follow-up to the popular Disney movie "The Aristocats!" At the conclusion of the movie, Thomas O'Malley (the Alley Cat) and Duchess (the sophiticated Aristocat) were settling in with their three kittens to a tranquil life in Paris after their escapades with the evil butler, Edgar. Unfortunately, the shock of nearly losing her extraordinary cats was too much on Duchess' owner and she passed away. The year was 1910 and their were 5 cats living on the the Aristocat Estate...
The Estate manager, Ragde Reltub, was in charge of the cats. He was under strict orders from the court to care for the cats with proper feeding and veterinary care. There was also a proviso in the will which said: "The total value of the estate will go to the person that predicts the maximum number of cats that will ever be living at the Aristocat Estates at one time!"
As their caretaker, Ragde noticed that the rate that the population was incrasing each year was directly proportional to 75 minus the total number of cats living on the estate. In addition, he noticed that in 1923 there were already 8 times as many cats living on the estate as there were in 1910.
1.) What equation could be used to estimate the number of cats (N) after a certain number of years (t) after 1910?
**NOT SURE HOW TO SET THIS UP WITH THE GIVEN INFORMATION!
2.) In approximately what year will the cat population reach 50 cats?
**DO YOU TAKE THE ANSWER FROM #1 AND SET T EQUAL TO 50?
3.) Does Mr. Reltub's information that he observed help him win the money? If so, what is the maximum number of cats on the estate and how do you know?
**HOW DO YOU KNOW? HOW CAN THIS BE SOLVED?
4.) Should Ragde Reltub be trusted? Why or why not??
**HOW IS THIS MATHEMATICAL?
The Estate manager, Ragde Reltub, was in charge of the cats. He was under strict orders from the court to care for the cats with proper feeding and veterinary care. There was also a proviso in the will which said: "The total value of the estate will go to the person that predicts the maximum number of cats that will ever be living at the Aristocat Estates at one time!"
As their caretaker, Ragde noticed that the rate that the population was incrasing each year was directly proportional to 75 minus the total number of cats living on the estate. In addition, he noticed that in 1923 there were already 8 times as many cats living on the estate as there were in 1910.
1.) What equation could be used to estimate the number of cats (N) after a certain number of years (t) after 1910?
**NOT SURE HOW TO SET THIS UP WITH THE GIVEN INFORMATION!
2.) In approximately what year will the cat population reach 50 cats?
**DO YOU TAKE THE ANSWER FROM #1 AND SET T EQUAL TO 50?
3.) Does Mr. Reltub's information that he observed help him win the money? If so, what is the maximum number of cats on the estate and how do you know?
**HOW DO YOU KNOW? HOW CAN THIS BE SOLVED?
4.) Should Ragde Reltub be trusted? Why or why not??
**HOW IS THIS MATHEMATICAL?
