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Problem 5- Raccoons, Purple Martins, and Mosquitos: The recent opening of a landfill in the area has caused the raccoon population to flourish, with an adverse effect on the number of purple martins (a type of bird). Wildlife specialists believe the population of purple martins p will decrease as the population of raccoons, r, grows. The relationship between these two populations is represented by the equation below: p(r) = 750 3.75r Mosquitoes are the primary diet of purple martins. Thus, the mosquito population m is a function of the population of purple martins p and is represented by this equation: m(p) 50,000- 45p 1 If there were no raccoons in the area before the land fill opened, then how many mosquitos are in the area at that time? a. b. If there were 200 raccoons in the area six months after the landfill opened, then how many mosquitos are in the area at that time? If there were r raccoons in the area one year after the land fill opened, then how many mosquitos are in the area at that time? c. d. If we don't want more than 36,500 mosquitos, then what should the raccoon population be? p. 20

Problem 5- Raccoons, Purple Martins, and Mosquitos: The recent opening of a landfill in the area has caused the raccoon population to flourish, with an adverse effect on the number of purple martins (a type of bird). Wildlife specialists believe the population of purple martins p will decrease as the population of raccoons, r, grows. The relationship between these two populations is represented by the equation below: p(r) = 750 3.75r Mosquitoes are the primary diet of purple martins. Thus, the mosquito population m is a function of the population of purple martins p and is represented by this equation: m(p) 50,000- 45p 1 If there were no raccoons in the area before the land fill opened, then how many mosquitos are in the area at that time? a. b. If there were 200 raccoons in the area six months after the landfill opened, then how many mosquitos are in the area at that time? If there were r raccoons in the area one year after the land fill opened, then how many mosquitos are in the area at that time? c. d. If we don't want more than 36,500 mosquitos, then what should the raccoon population be? p. 20

Calculus: Early Transcendentals
Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
Section: Chapter Questions
Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
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Problem 5- Raccoons, Purple Martins, and Mosquitos: The recent opening of a landfill in the area has caused the raccoon population to flourish, with an adverse effect on the number of purple martins (a type of bird). Wildlife specialists believe the population of purple martins p will decrease as the population of raccoons, r, grows. The relationship between these two populations is represented by the equation below: p(r) = 750 3.75r Mosquitoes are the primary diet of purple martins. Thus, the mosquito population m is a function of the population of purple martins p and is represented by this equation: m(p) 50,000- 45p 1 If there were no raccoons in the area before the land fill opened, then how many mosquitos are in the area at that time? a. b. If there were 200 raccoons in the area six months after the landfill opened, then how many mosquitos are in the area at that time? If there were r raccoons in the area one year after the land fill opened, then how many mosquitos are in the area at that time? c. d. If we don't want more than 36,500 mosquitos, then what should the raccoon population be? p. 20
Transcribed Image Text:Problem 5- Raccoons, Purple Martins, and Mosquitos: The recent opening of a landfill in the area has caused the raccoon population to flourish, with an adverse effect on the number of purple martins (a type of bird). Wildlife specialists believe the population of purple martins p will decrease as the population of raccoons, r, grows. The relationship between these two populations is represented by the equation below: p(r) = 750 3.75r Mosquitoes are the primary diet of purple martins. Thus, the mosquito population m is a function of the population of purple martins p and is represented by this equation: m(p) 50,000- 45p 1 If there were no raccoons in the area before the land fill opened, then how many mosquitos are in the area at that time? a. b. If there were 200 raccoons in the area six months after the landfill opened, then how many mosquitos are in the area at that time? If there were r raccoons in the area one year after the land fill opened, then how many mosquitos are in the area at that time? c. d. If we don't want more than 36,500 mosquitos, then what should the raccoon population be? p. 20
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