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 xvalue, and therefore the closer to the river, the larger
the population. Conversely, a larger xvalue indicates a position further from the river,
and a smaller population of mosquitoes. A small xvalue will make the denominator
smaller and the value of the function greater. A large xvalue 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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 Spring '08
 Staff
 Calculus, Rectangle, Mile, square mile

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