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A group of 10 wolves are introduced to a national park. The park can support 100 wolves. After 1 year there are 12 wolves. Let W be the number of wolves and t be measured in years. If the rate of growth of the wolf population is proportional to the initial number of wolves, at what time will it reach 100? Round answer to the nearest year. O 10 13 15 25

A group of 10 wolves are introduced to a national park. The park can support 100 wolves. After 1 year there are 12 wolves. Let W be the number of wolves and t be measured in years. If the rate of growth of the wolf population is proportional to the initial number of wolves, at what time will it reach 100? Round answer to the nearest year. O 10 13 15 25

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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### Population Growth of Wolves in a National Park A group of 10 wolves is introduced to a national park, which has the capacity to support 100 wolves. After one year, the population increases to 12 wolves. Let \( W \) represent the number of wolves, and let \( t \) be the time in years. #### Problem: If the rate of growth of the wolf population is proportional to the initial number of wolves, at what time will the population reach 100 wolves? Round your answer to the nearest year. #### Multiple Choice: - \( \circ \) 10 years - \( \circ \) 13 years - \( \circ \) 15 years - \( \circ \) 25 years This problem involves understanding exponential growth and using it to predict the future population of wolves based on given data.
Transcribed Image Text:### Population Growth of Wolves in a National Park A group of 10 wolves is introduced to a national park, which has the capacity to support 100 wolves. After one year, the population increases to 12 wolves. Let \( W \) represent the number of wolves, and let \( t \) be the time in years. #### Problem: If the rate of growth of the wolf population is proportional to the initial number of wolves, at what time will the population reach 100 wolves? Round your answer to the nearest year. #### Multiple Choice: - \( \circ \) 10 years - \( \circ \) 13 years - \( \circ \) 15 years - \( \circ \) 25 years This problem involves understanding exponential growth and using it to predict the future population of wolves based on given data.
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