An Exponential Study

by Ceci Nepple

and Rorey Markus Narwhal Population Prediction of the population over the next decade Equation: The population of Narwhals over the past decade is exponential. Equation: Bibliography Defenders of Wildlife. "Basic Facts About Narwhals." Narwhal. Defenders of Wildlife, 2012. Web. Dec. 2012. Narwhals (monodon monoceros) A narwhal is a toothed whale that has a horn-like tusk that resembles a unicorn horn. It lives in the Arctic waters from Russia to Greenland They eat squid, fish, and shrimp They are 13 - 16 feet long, weight up to 1.8 tons (3,600 lbs), and can live up to 50 years They're migratory cetaceans (whales and dolphins), they travel in pods with 10 - 100 members. They usually swim slowly and stay near the surface But they can dive up to 5,000 feet Male narwhals have up to 9 foot long tusk, which is really a tooth, growing from its snout After its born, the calf says with the mother for up to 20 months Mating season is March to May, gestation is 16 months Male narwhals during mating season will "duel" by fighting with their tusks Graph: Table: The population has only been studied for about a decade. The earliest accurate data is in 2000. Before that, narwhals were considered rare because of their unicorn-like horns gave them a mythical reputation. We gathered the data and plugged it into an equation. In a perfect world, the narwhal population increases 11.8% every year. Different natural events could affect the population each year. "Video -- World's Weirdest: Narwhals -- National Geographic." National Geographic. N.p., Sept. 2012. Web. 13 Dec. 2012. Table: Graph: Using the equation f(x) = 19,964.353 (1.118) ^X and plugging in the amount of years after 2000, we could predict the population increase in the next decade. By 2022, the population will be about 232,260 narwhals. Different circumstances like ice melt, disease, hunting, low food, could affect the population. So our model may or may not be accurate since we cannot predict the events. Encyclopedia of Life (Lead Author);C Michael Hogan (Topic Editor) "Narwhal". In: Encyclopedia of Earth. Eds. Cutler J. Cleveland (Washington, D.C.: Environmental Information Coalition, National Council for Science and the Environment). [First published in the Encyclopedia of Earth April 6, 2011; Last revised Date April 14, 2011; Retrieved December, 2012 <http://www.eoearth.org/article/Narwhal?topic=49540> Arctic Institute of North America. "New survey techniques improve narwhal population estimates." ScienceDaily, 7 Apr. 2010. Web. Dec. 2012. http://www.sciencedaily.com/releases/2010/04/100407110814.htm Defenders of Wildlife. narwhal-range-map.jpg. December 2012. http://www.defenders.org/sites/default/files/narwhal-range-map.jpg link: http://video.nationalgeographic.com/video/animals/mammals-animals/whales/weirdest-narwhals/ Presentation by Ceci Nepple and Rorey Markus What is an exponential equation? For example, a population of a town of 5,000 increases by 11% each year. The population increase will not be the same each year, but the rate of increase, 11%, stays the same each year Exponential equations are non linear, meaning that it doesn't increase or decrease at a constant rate, but the increase or decrease, like a percent, stays the same. This is called exponential growth. When the rate is decreasing, it is called exponential decay. An exponential equation is when there rate increase stays the same, but is changed by the term exponentially. An exponential equation is represented by the equation f(x) = a (b)^x. In this example, the equation is f(x) = 5000 (1 + .11)^x

Where a = 5000 or the initial value

b = 1 + .11 or the growth factor since this is an increase, add the growth factor to the 1

x = the number or years Now, you may ask, "What the heck does that have to do with narwhals???" Owner unknown. narwhal.jpg. December 2012. http://1.bp.blogspot.com/_B3yBAo88kfs/TTmI56p3ZSI/AAAAAAAAAC4/CnHSZ-7Bms4/s1600/narwhal.jpg Paul Nicklen. narwhals.jpg. December 2012. http://images.mudfooted.com/narwhals.jpg Their tusk serves no evolutionary purpose Their tusk is actually a giant tooth Thanks for Watching!!! If someone can read this, we'll play the narwhal song...

http://www.cleanvideosearch.com/media/action/yt/watch?videoId=ykwqXuMPsoc Yes, narwhals are real.

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# Narwhal Population ~ an Exponential Study

by Ceci Nepple and Rorey Markus

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