varying density Lab (docx)

varying density Lab (docx) - Tiffany Labon Michael Mclennon...

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Tiffany Labon Michael Mclennon Osagie Obanor Bryce Pittard Varying Density Lab Report Part 1: 1. The mosquitoes in the park are most concentrated closest to the river and the least concentrated furthest from the river. This is clear from the function provided, m(x) = 8000000 3 120 x + The smaller the x-value, and therefore the closer to the river, the larger the population. Conversely, a larger x-value indicates a position further from the river, and a smaller population of mosquitoes. A small x-value will make the denominator smaller and the value of the function greater. A large x-value will make the denominator larger and the overall value of the function smaller. 2. The range of the mosquito population is between 66,667 and 14,035 mosquitoes/square mile. We figured out these values by plugging in x=0 and x=150 into m(x). At x=0, m(x)=8,000,000/ 3(0)+120= 66,667 mos/sq mi At x=150, m(x)=8,000,000/ 3(150)+120= 14,035 mos/sq mi 3. We first divided the park into 5 equal rectangles, with midpoints of x=15, x=45, x=75, x=105, and x=135. Each rectangle is 30 miles wide by 50 miles long. The area of each rectangle is solved with the formula Area=base (height)= 30 mi (50 mi)= 1500 square miles. We figured out approximately how many mosquitoes are in each rectangle by first
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varying density Lab (docx) - Tiffany Labon Michael Mclennon...

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