Rat Pow

RAT POW Problem Statement I this POW we were appoint to find the population of the exp mavinnessntial growth of a rat population, residing on a perfect, utopian island after a year. Organisms will flourish prosperity on the Island and no deaths would occur. The journey began when merely 2 full-grown rats, the one original male and female, arrived on the island. Their offspring would be determined by the following Every solar day from January initiative, the original mother would give have to a liter of 6 infant rats. Within this 6, half would brood of female offspring, leaving the other half to become male.She would continue to modernise offspring any 40 long time (the initiative genesis of Offspring). The 1st Generation would thusly produce their 2nd generation of offspring great hundred days after their birth. Finally, the 2nd Generation would produce the tertiary Generation of their offspring after 40 days. Process I organized my last data in a table format, but it was not a result of my first attempts to solve the problem by any means. First, I made a sort of chart solely calculating which days were the markers for the original incurs babies (the 1st Generation).I counted 40 continuous days, starting from January 1st, and when I got to the fortieth day after January first (which was February 9th) I started over counting from 1-40 at one time again. I proceed on with this method to conclude that 9 cycles of descendants would occur during 365 life span, reproducing every 40 days. In addition, I overly had the dates of each of the days that Generation 1 would be produced, which I bring out was no use to my problem or solution. From there, I notion I could simply count the days that the 1st, 2nd, and 3rd generations were born, but then I came to a realization with just how many rats there would in reality be.I came to the assumption that such a tactic would take a wicked amount of time to complete and that a different, and more efficient take aim should be perused. So I got together with a friend to earn if we could come up with a competent strategy. We trenchant we would conduct the family channelize strategy, so we first taped many regular printer make-up sheets together to have enough space for the tree. We started with a Male and feminine plot, and attempted to branch of from there to depict each generation accurately.We cursorily learned that our procedure, and the rate we were going, would probably take days to complete and that is was on the whole insufficient time-wise. We tried to find ways around it, and eventually decided to call it a day. At home, I explain the situation to one of my parents and they have me the idea for a table. It would consist of time intervals by day (day 1, 40, 80, 120, 160, 200, 240, 280, 320, and 360), the breeders during that time/day, and the number of rats during that day included in either the 1st Generation, 2nd Generation, of 3rd Generation.On day 1, there were 2 Bre eders (the original aim and Father), six 1st Generation babies, and no 2nd or 3rd Generations yet. On day 40, there were still only 2 breeders (the Mother and Father because the babies had just been born), 6 1st Generation sis rats, 6 2nd Generation baby Rats, and no 3rd generation baby rats. As you can observe in the table below, I continued on with the pattern until I got to day 360 and every column in the table with completed. I counted up the total number of rats in every column, and it totaled up to 1,808 rats which I knew was correct because I had official verification.