Premium Essay

The Maze

In:

Submitted By allen4399
Words 2214
Pages 9
Population Growth – Exponential and Logistic Models vs. Complex Reality

I. Exponential Population Growth
1a. Suppose a single bacterium is placed in a flask that contains lots of food for bacteria. In this flask, each bacterium grows and divides in two every 30 minutes. Therefore, the number of bacteria in the population doubles every 30 minutes. How many bacteria do you think there willbe by 5 hours after the single bacterium is placed in the flask (just guessing)? ______

1b. Complete the table to calculate how many bacteria there will be at each time.
1 bacterium at the beginning = 0 minutes bacteria by 30 minutes bacteria by 1 hour bacteria by 1 hour and 30 minutes bacteria by 2 hours bacteria by 2 hours and 30 minutes bacteria by 3 hours bacteria by 3 hours and 30 minutes bacteria by 4 hours bacteria by 4 hours and 30 minutes bacteria by 5 hours

2.Plot the number of bacteria at each time; connect the points to show the population growth. Number of Bacteria Time (hours)

3a. How long would it take for the population of bacteria to increase from 1 bacterium to 500 bacteria?

3b. How long would it take for the population to increase from 500 bacteria to 1000 bacteria?

Notice that, when a population doubles in each time interval, the number of bacteria in the population increases faster and faster as the population gets larger. This kind of population growth is called exponential population growth.
4.For these bacteria, population growth can be represented by the mathematical equation:
ΔN = N, where
• N is the number of bacteria at the beginning of a 30-minute time interval
• ΔN (pronounced delta N) is the change in the number of bacteria from the beginning to the end of the 30-minute time interval
Explain the biological reason whyΔN in a 30-minute interval is equal to N at the beginning of the 30-minute

Similar Documents

Premium Essay

The Maze Runner

...novel, The Maze Runner, explains why he and his friends keep attempting to solve the maze. James Dashner, the author of The Maze Runner, portrays the characters in the novel as persistent people. In many situations in life, such as trying to solve a maze, those who are determined, who try, and try again will succeed. Dashner’s theme, persistence leads to success, becomes evident in Thomas’ painstaking efforts to escape, the dangerous risks he takes to save his friends, and the heart-breaking sacrifices his friends make. Dashner conveys his theme that persistence leads to success through Thomas’ painstaking efforts to escape of which some are successful attempts and others, agonizing endeavors....

Words: 750 - Pages: 3

Premium Essay

Maze

...Micromouse : Maze solving algorithm This is my maze solving robot project which worked out pretty well. I have put up my whole project report that i submitted to my college but i have chucked out the exact code. if i get a good response and demans then i will surely give you all the exact working code of my project. If you are interested only to learn about the algorithm and not worried about the design pl skip to the section 5 of this text. 1 INTRODUCTION Atonomous robots have wide reaching applications.From Bomb sniffing to finding humans in wreckage to home automation.Major problems facing designers are power and reliable sensing mechanism and unfamiliar terrain obotic competitions have inspired engineers for many years.Competitions are held all around the world based on autonomous robots. One of the competions with the richest history is micromouse . The micromouse competitions have existed for almost 30 years in the United States and it has changed little since its inception. The goal of the contest is simple. The robot must navigate from a corner to the center as quickly as possible.The actual final score of the robot is primarily a function of the total time in the maze and the time of the fastest run.The specificatons for the micromouse event is specified in appendix A. The Design incorporates various techniques to simplify the approach and make an effecient automated robot. 2 MICROMOUSE DESIGN AND HARDWARE The Major criteria of micromouse design remained the...

Words: 2118 - Pages: 9

Free Essay

The Maze Runner

...gigantic maze surrounds the Glade. Inside, mechanical creatures called Grievers roam it at night. The huge doors into the maze close at sunset and reopen in the morning. Every week supplies are sent, and every month a new boy arrives in an elevator called, "the Box," It is the same elevator Thomas arrived in. There are also Beetle Blades, mechanical bugs which spy on the Gladers, with "WICKED" (World in Castastrophe - Killzone Experiment Department) written on them. After Thomas arrives, an unconscious girl arrives carrying a note reading, "She's the last one." She is taken to the infirmary to recover from a coma before being questioned. Meanwhile, Thomas learns that the Gladers have unsuccessfully been trying to solve the Maze for two years, and that the antidote to a Griever sting revives small bits of memory. Chuck (a twelve year old boy), and Newt (the Gladers' second-in-command), befriend Thomas. Gladers exploring the Maze are called "Runners." Minho, the Keeper of the Runners, and Alby, the Gladers' leader, search for a dead Griever that Minho found while running the maze the day before. However, the Griever is found to be not dead and it stings Alby. Minho struggles to carry Alby back to the Glade, but as the doors close on them, Thomas runs into the Maze to help. Hearing approaching Grievers, Minho leaves Thomas with an unconscious Alby. Thomas saves Alby and, finding Minho, tricks pursuing Grievers into falling off "the cliff" (an abyss within the Maze). Minho and...

Words: 916 - Pages: 4

Free Essay

The Maze Runner

...to his own job. The Glade is surrounded by a giant Maze where vicious, slug-like creatures with mechanical like arms, named Grievers, roam at night. Massive walls called the Doors surrounding the Glade protect the Gladers from these creatures by sliding closed every night. Every week, supplies are brought to the Glade and once a month a new boy is sent up through an elevator called the Box. The day after Thomas is brought to the Glade, a girl is sent with a message claiming she is the "last one ever." A girl has never been brought in before and the Gladers are excited and confused by her unexpected arrival. Immediately after arriving, the girl falls into a vegetative state. Meanwhile, Thomas learns more about the Glade, and he feels at home like he's been there before. He learns that the Gladers have been trying to solve the Maze for two years and that the Grievers sting can cause you to recall almost complete memories from the past. The process is painful and dreaded by other Gladers. He feels oddly connected to the new girl and also befriends a young Glader named Chuck, as well as a boy named Newt. On the other hand, he has a somewhat negative relationship with Gally, who is suspicious of Thomas and claims that he has seen him, after he was stung by a Griever, in a process known as the Changing. Thomas also feels an inexplicable urge to be a Runner, the people who explore, map out, and try to find a way out of the Maze. One day, one Runner and the "leader of the Glade...

Words: 1217 - Pages: 5

Premium Essay

The Maze Runner Research Paper

...The Maze Runner, follow an extremely similar chain of events in comparison to other stories of the same genre. The Maze Runner takes the prototype storytelling strategy of dystopian societies, and creates a feel similar to the recognized short story called “The Lottery”. The story begins with a teenage boy arriving at an open field surrounded by walls far too high to reach. This boy instantly found himself at the center of many other boys of the same age who seem to be completely used to people showing up there. While this may seem like a simple story, the detail added to The Maze Running that gives the unique feel is that everybody in the field were also somehow forced into this...

Words: 1511 - Pages: 7

Premium Essay

The Maze Runner Research Paper

...The Maze Runner to me, had everything. It was unique, but it was also easy to guess what would happen next. Above all, the storyline was a lot like Divergent because they lived through the ending of the world. I think that the maze worked for the storyline. Not a lot of books have people living like guinea pigs trying to figure out a maze. On the other hand, when it was just boys until one girl showed up, that was kind of cheesy. It just so happens she’s the one to mess everything up. I would actually add more details to certain sections of the story such as when Thomas went through the changing. When you meet a person what do you see first? What they look like or what their personality is? The Maze Runner only truly focused...

Words: 627 - Pages: 3

Premium Essay

The Maze Runner Research Paper

... the readers of The Maze Runner don’t know much about the Maze. Who created it? Why was it built? How did someone even think of this idea? We are thrown into Thomas’s new world, without any idea what anything is like. We don’t have any “memories” of the world outside the Maze. In this introduction, I am going to introduce you to the reason behind the Maze, and those who created it. There was a time when the world was destroying itself, and resources were scarce. The sun also wasn’t helping, and by not helping, I mean it's the reason the world was suffering in the first place. Do you know why? It blew up. The sun blew up, causing a virus widely known as the Flare. Only the sun wasn’t the cause of the Flare; it was a man-made virus that was made to control the...

Words: 628 - Pages: 3

Premium Essay

The Maze Runner Research Paper

...The maze runner essay In the movie of the maze runner, the title is well self-explanatory, throughout this movie its lots of wicked plots and things going on. There are young boys on a little landscape, they call it the glade, and they have all been put there for a reason, as supposed of being tested, little did they know. None of them had any memory to figure their identity out, or even know what was going on. Later on a heroic character name, Thomas enters the glade and changes every thing for them. Through out the glade, most of the most of the people were very settle yet still looking for answers, they stuck to the same rules and duties everyday for 3 years. The day Thomas showed up right from the start he was a very curious and risky person, he wanted answers. In a scene when alby and his friend came running out of the maze and alby was hurt no one wanted to help them out they, were just on there own, then Thomas over...

Words: 869 - Pages: 4

Premium Essay

Universal Themes In The Maze Runner

...Universal themes are throughout the entire dystopian film, The Maze Runner by James Dashner. Universal themes are common ideas that appear in literature, even from decades . The universal themes linked into this dystopian science story are survival, heroic scenarios, security/safety, and quest for knowledge. Surviving was one of the main key elements in this movie. Being a runner, surviving was the only thing you thought about going inside the maze. Some had been there for three years, and are still alive surviving day and night. Thomas wanted to survive to make it out of the Glade. He went in the maze to find the answers that everyone else has been looking for after years. All they knew how to do was survive in the Glade, where nothing dangerous really happened....

Words: 518 - Pages: 3

Premium Essay

James Dashner's The Maze Runner

...The Maze Runner by James Dashner was published in 2009 by Delacorte Press and is 374 pages long. The book Maze Runner is an intriguing book about kids trapped in a maze and how people are controlling them. The reason they are there is because the world burnt and they are getting put through a test. I personally thought the book was awesome, because it was well written and it is a big mystery. The setting of the book is in a maze on planet Earth many, many years in the future. Thomas, the main character, doesn’t remember anything besides his name. He wakes up in a lift not knowing where he is and is crowded by a bunch of boys. The boys are a part of a community that are trying to survive. Thomas wants to be a runner but has to prove he...

Words: 290 - Pages: 2

Premium Essay

How To Become A Maze Runner

...Thomas wakes up in somewhat of an elevatorshaft with absolutely no memory, not even his name. He comes out the top of the shaft only to see about fifty or so boys standing around him who have survived for years in a completely enclosed environment. Thomas was extremely dazed and confused upon his arrival but was kindly greeted by a boy named chuck. Chuck played a very big part in Thomas’s journey of becoming a maze runner.New supplies and a new boy is delivered every 30 days. The original group had been there for 3 years trying to find a way out out of the maze. After a few months, a girl emerged from the elevator. It was the first girl ever in this glade! Every boy there was shocked! The girl had a strange note in her hand when...

Words: 283 - Pages: 2

Premium Essay

Maze Runner Quote Analysis

...It's like the landscape is an uninterrupted sentence, one side dangling in the air, unfinished, and the other, a completely different subject ." (Roth, 101). The setting of Allegiant reminds me of another book I read: Maze Runner. It reminds me of Maze Runner by James Dashner because both stories are during a futuristic time period after disaster struck leaving the cities in shambles. Also from what I can recall, both novels have similar descriptions of the world outside of theirs. The only major difference between the setting is that in James Dashner's book the city is not only in shambles but is scorching hot compared to Allegiant's setting. Science Fiction and Romance are two very strong genres in Allegiant. One of my favorite parts that highlight the romantic side of the book is when Tris and Tobias decide that they choose to stick together as a couple, not by default, but because she and Four mutually choose to. she states that " I stay with him because I choose to,...

Words: 1094 - Pages: 5

Premium Essay

Maze Runner Thomas Courage Quotes

...The Maze Runner The character Thomas in The Maze Runner arrives at mysterious place called the Glade where his life changes forever. Thomas displays a very determined and brave individual because of his actions performed throughout the book. Thomas does what needs to be done and avoids wasting time. Thomas’s determined attitude leads me to believe he is a leader, and others may look up to him for safety. Thomas also presents curiosity towards the maze. Thomas thinks to himself, “How could a maze, with walls so massive and tall, be so big that dozens of kids hadn’t been able to solve it after who knew how long trying? How could such a structure exist? And more importantly, why? What could possibly be the purpose of such a thing? Why were they all there?” (Dashner, 38) I think this quote is a good choice to show Thomas thinking to himself, it shows his curiosity. Thomas is asking himself questions trying to make out logical reasoning as to why they...

Words: 490 - Pages: 2

Free Essay

College Essay

...When most peopleof my classmates think back to their days as a child, they often remember recount stories of playing with neighbors, riding their bikes, down the sidewalk to go to their best friend’s house or playing a game of Marco Polo at the neighborhood poolbackyard games, and trips to the movie theatre or neighborhood pool. When I think about my childhood, my memories aren’t exactly the same. My experience was nothing like theirs. I was born into a farming family, not far from the Kentucky River. There were no neighborhood children for me—I it was a special treat just to make the miles-long trip remember driving only three minutes in the car to spend the night with my best friend, Natalie. My memories are made up of, riding around in the big green John Deere tractors with my dad, with the feeling that I was on top of the world, and being chased by a rather large brown cow when family time was spentwhile trying to get the herd back into the field. While most of the other boys and girls other kids my age were busy playing tag in their quarter- of- an- acre backyard, I was busy creating a world of make believe with my sisters, in the sprawling countryside we called home. playing games that my sisters and I invented, in my twenty acre make believe world. Growing up on a farm has been one of the biggest blessings in my life. I havetaught me learned things that could never have been taught picked up on the sidewalk of any neighborhood. The concept of hard work has...

Words: 883 - Pages: 4

Free Essay

Maze Runner

...The Maze Runner book review The Maze Runner is very similar to the Hunger games books as it almost has the same story line. I would suggest to anyone who enjoyed reading the Hunger Games, they would very much relish the chance to read The Maze Runner. The basic plot of the book is the lead character Thomas wakes up in an abandoned elevator by himself and has no memories of life before the elevator he wakes up in, the only memories he had were not specific and were bare such as his school, however he doesn’t remember any people faces and only remembers his name. The elevator doors open and he finds himself in a huge field with boys aged 12-18. The boys are known as Gladers and use their own dialect every other words so the first couple of chapters are very hard to understand but once you get the hand of it, it’s all very easy. All the boys lived in huts inside this field and there are massive walls surrounding them so Thomas is very unsure of his position. Outside the walls there is a huge maze which runs on for miles and miles, which seems to run nowhere. Everyday this group of boys called the runners try to find a way out of the maze. However they have to return every night as the wall go up and the boys would be stuck outside the maze where these horrible creatures called Griever’s come out and hunt down the children. These creatures are half animal half machine and have saws for arms. Thomas came up with a dangerous plan to escape. The plan works, but half of the group dies...

Words: 507 - Pages: 3