Problem/question
Many people find that time seems to pass more quickly as you get older. So, the older you are, the shorter a year seems. Let's model this experience mathematically. Let's theorize that your perception of a length of time is inversely proportional to your age. We will investigate together and determine as a group if we think this is a good model of the true experience.
Let's use ptime as the variable for your perception of a length of time, and use age as the variable for your age.
1. Our theory is that your perception of a length of time is inversely proportional to your age. Using the variables above, how would you state the theory in a mathematical equation?
2. Using this theory, how long will a year seem when you are two times older than you are now? To investigate, let ptime1 be how long a year seems now, and let ptime2 be how long a year will seem when you are twice as old. Pick a number for ptime1 (maybe a year feels like 157 days to you, for instance), and then calculate ptime2. Pick a number for ptime1 that is different from other students.