Concept explainers
Pollution Intolerance According to research at the Great Swamp in New York, the percentage of fish that are intolerant to pollution can be estimated by the function
where W is the percentage of wetland, R is the percentage of residential area, and A is the percentage of agricultural area surrounding the swamp. Source: Northeastern Naturalist.
(a) Use this function to estimate the percentage of fish that will be intolerant to pollution if 5 percent of the land is classified as wetland. 15 percent is classified as residential, and 0 percent is classified as agricultural. (Note: The land can also be classified as forest land.)
(b) What is the maximum percentage of fish that will be intolerant to pollution?
(c) Develop two scenarios that will drive the percentage of fish that are intolerant to pollution to zero.
(d) Which variable has the greatest influence on P?
Want to see the full answer?
Check out a sample textbook solutionChapter 17 Solutions
Finite Mathematics and Calculus with Applications (10th Edition)
- LIFE SCIENCE APPLICATIONS APPLY IT Splenic Artery Resistance Blood flow to the fetal spleen is of research interest because several diseases are associated with increased resistance in the splenic artery the artery that goes to the spleen. Researchers have found that the index of splenic artery resistance in the fetus can be described by the function y=0.057x0.001x2, where x is the number of weeks of gestation. Source: American Journal of Obstetrics and Gynecology. a. At how many weeks is the splenic artery resistance a maximum? b. What is the maximum splenic artery resistance? c. At how many weeks is the splenic artery resistance equal to 0, according to this formula? Is your answer reasonable for this function? Explain.arrow_forwardTotal Body Water Accurate prediction of total body water is critical in determining adequate dialysis doses for patients with renal disease. For white males, total body water can be estimated by the function T(A,W,B)=23.040.03A+0.50W0.62B where T is the total body water in liters, A is age in yr, W is weight in kg, and B is the body mass index. Source: Kidney International. Find T(55,75,30).arrow_forwardLIFE SCIENCE APPLICATIONS Body Surface Area The surface area of a human in square meters has been approximated by A(h,m)=0.024265h0.3964m0.5378, where h is the height in cm and m is the mass in kg. Find A for the following data. Source: The Journal of Pediatrics. a. Height, 178cm; mass, 72kg b. Height, 140cm; mass 65kg c. Height, 160cm; mass, 70kg d. Using your mass and height, find your own surface area. e. f.arrow_forward
- Calculus For The Life SciencesCalculusISBN:9780321964038Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.Publisher:Pearson Addison Wesley,Algebra & Trigonometry with Analytic GeometryAlgebraISBN:9781133382119Author:SwokowskiPublisher:CengageGlencoe Algebra 1, Student Edition, 9780079039897...AlgebraISBN:9780079039897Author:CarterPublisher:McGraw Hill
- Big Ideas Math A Bridge To Success Algebra 1: Stu...AlgebraISBN:9781680331141Author:HOUGHTON MIFFLIN HARCOURTPublisher:Houghton Mifflin Harcourt