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7) Just like lions are the top predators of the savanna, lionfish have quickly become the top of the food chain in the Atlantic Ocean. As lionfish have invaded the Atlantic Ocean, it has had an impact on the number of certain species of native fish in the area. Scientists have studied part of the Atlantic Ocean off the coast of Florida and compared the effects lionfish had on native fish as lionfish populations increased since 1980. The graph to the right shows the results of the amount (in thousands) of fish, y, of each type for any given year, t, where t= 0 is the year 1980. Let p(t) be the population of of lionfish for any year, t and n(t) be the population of native fish for any year, t. (a) Create the equations for both p(t) and n(t). 4-90140-90 670 (X-10) Amount (10,90) (20, 30) XFY-100=D Time Y-90=(x-10) 1-90=-1(x-10) Y-90=-x+10 (b) Which has a greater value, p(30) or n(30)? What do these mean in the context of the problem? p(t) n(t) (60, 90) (1-30)=3(x-20) 27-60=3x-60 3x-2y=0 (60,40)

7) Just like lions are the top predators of the savanna, lionfish have quickly become the top of the food chain in the Atlantic Ocean. As lionfish have invaded the Atlantic Ocean, it has had an impact on the number of certain species of native fish in the area. Scientists have studied part of the Atlantic Ocean off the coast of Florida and compared the effects lionfish had on native fish as lionfish populations increased since 1980. The graph to the right shows the results of the amount (in thousands) of fish, y, of each type for any given year, t, where t= 0 is the year 1980. Let p(t) be the population of of lionfish for any year, t and n(t) be the population of native fish for any year, t. (a) Create the equations for both p(t) and n(t). 4-90140-90 670 (X-10) Amount (10,90) (20, 30) XFY-100=D Time Y-90=(x-10) 1-90=-1(x-10) Y-90=-x+10 (b) Which has a greater value, p(30) or n(30)? What do these mean in the context of the problem? p(t) n(t) (60, 90) (1-30)=3(x-20) 27-60=3x-60 3x-2y=0 (60,40)

Algebra and Trigonometry (6th Edition)
Algebra and Trigonometry (6th Edition)
6th Edition
ISBN:9780134463216
Author:Robert F. Blitzer
Publisher:Robert F. Blitzer
ChapterP: Prerequisites: Fundamental Concepts Of Algebra
Section: Chapter Questions
Problem 1MCCP: In Exercises 1-25, simplify the given expression or perform the indicated operation (and simplify,...
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Name: 2(x) 7) Just like lions are the top predators of the savanna, lionfish have quickly become the top of the food chain in the Atlantic Ocean. As lionfish have invaded the Atlantic Ocean, it has had an impact on the number of certain species of native fish in the area. Scientists have studied part of the Atlantic Ocean off the coast of Florida and compared the effects lionfish had on native fish as lionfish populations increased since 1980. The graph to the right shows the results of the amount (in thousands) of fish, y, of each type for any given year, t, where t = 0 is the year 1980. Let p(t) be the population of of lionfish for any year, t and n(t) be the population of native fish for any year, t. (a) Create the equations for both p(t) and n(t). 4-90140-90 Tab (c) For what value of t is p(t) = n(t)? Amount (10,90) (20, 30) 670 (X-10) Y-90=(x-10) 4-90=1(x-10) Y-90=-x+10 (b) Which has a greater value, p(30) or n(30)? What do these mean in the context of the problem? XFY-100=D Time p(t) (d) During what year is there predicted to be no native fish remaining off the coast of Florida? n(t) (60, 90) (1-30)=3(x-20) 27-60=3x-60 3x-2y=0 (60, 40)
Transcribed Image Text:Name: 2(x) 7) Just like lions are the top predators of the savanna, lionfish have quickly become the top of the food chain in the Atlantic Ocean. As lionfish have invaded the Atlantic Ocean, it has had an impact on the number of certain species of native fish in the area. Scientists have studied part of the Atlantic Ocean off the coast of Florida and compared the effects lionfish had on native fish as lionfish populations increased since 1980. The graph to the right shows the results of the amount (in thousands) of fish, y, of each type for any given year, t, where t = 0 is the year 1980. Let p(t) be the population of of lionfish for any year, t and n(t) be the population of native fish for any year, t. (a) Create the equations for both p(t) and n(t). 4-90140-90 Tab (c) For what value of t is p(t) = n(t)? Amount (10,90) (20, 30) 670 (X-10) Y-90=(x-10) 4-90=1(x-10) Y-90=-x+10 (b) Which has a greater value, p(30) or n(30)? What do these mean in the context of the problem? XFY-100=D Time p(t) (d) During what year is there predicted to be no native fish remaining off the coast of Florida? n(t) (60, 90) (1-30)=3(x-20) 27-60=3x-60 3x-2y=0 (60, 40)
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