In a lake, a large fish feeds on a medium-size fish, and the population of the large fish is given by the function L(m) = √20m + 150, where m is the number of medium-size fish in the lake. In turn, the medium-size fish feeds on small fish, and the population of the medium-size fish is given by the function M(s) = √s + 5000, where s is the number of small fish in the lake. a. Find a mathematical model expressing the population of the large fish as a function of the number of small fish in the lake. b. Find the domain of the mathematical model. c. How many large fish in the lake when the lake contains 9 million small fish?
In a lake, a large fish feeds on a medium-size fish, and the population of the large fish is given by the function L(m) = √20m + 150, where m is the number of medium-size fish in the lake. In turn, the medium-size fish feeds on small fish, and the population of the medium-size fish is given by the function M(s) = √s + 5000, where s is the number of small fish in the lake. a. Find a mathematical model expressing the population of the large fish as a function of the number of small fish in the lake. b. Find the domain of the mathematical model. c. How many large fish in the lake when the lake contains 9 million small fish?
Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter9: Quadratic Functions And Equations
Section9.2: Transformations Of Quadratic Functions
Problem 50PFA
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In a lake, a large fish feeds on a medium-size fish, and the population of the large fish is given
by the function L(m) = √20m + 150, where m is the number of medium-size fish in the lake.
In turn, the medium-size fish feeds on small fish, and the population of the medium-size fish
is given by the function M(s) = √s + 5000, where s is the number of small fish in the lake.
a. Find a mathematical model expressing the population of the large fish as a function of the
number of small fish in the lake.
b. Find the domain of the mathematical model.
c. How many large fish in the lake when the lake contains 9 million small fish?
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