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7. The snowshoe hare population in a newly created conservation area can be (t) = 50 + 2500t² 25+12, predicted over time by the model p where p represents the population size and t is the time in years since the opening of the conservation area. The graph of p(t) is shown below: 2000- 1000- 10 15 20 25 a) Determine the average rate of change in the interval from 2 years to 5 years. b) Determine the instantaneous rate of change at 3 years.

7. The snowshoe hare population in a newly created conservation area can be (t) = 50 + 2500t² 25+12, predicted over time by the model p where p represents the population size and t is the time in years since the opening of the conservation area. The graph of p(t) is shown below: 2000- 1000- 10 15 20 25 a) Determine the average rate of change in the interval from 2 years to 5 years. b) Determine the instantaneous rate of change at 3 years.

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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7. The snowshoe hare population in a newly created conservation area can be p(t) 50 + predicted over time by the model p = 2500t² 25+12, where p represents the population size and t is the time in years since the opening of the conservation area. The graph of p(t) is shown below: 2000- 1000- 10 15 20 25 a) Determine the average rate of change in the interval from 2 years to 5 years. b) Determine the instantaneous rate of change at 3 years. c) Use the graph to discuss how the population of snowshoe hares changes as time increases. d) Use the graph to discuss how the rate of the population of snowshoe hares changes as time increases.
Transcribed Image Text:7. The snowshoe hare population in a newly created conservation area can be p(t) 50 + predicted over time by the model p = 2500t² 25+12, where p represents the population size and t is the time in years since the opening of the conservation area. The graph of p(t) is shown below: 2000- 1000- 10 15 20 25 a) Determine the average rate of change in the interval from 2 years to 5 years. b) Determine the instantaneous rate of change at 3 years. c) Use the graph to discuss how the population of snowshoe hares changes as time increases. d) Use the graph to discuss how the rate of the population of snowshoe hares changes as time increases.
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