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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.

College Algebra
College Algebra
1st Edition
ISBN:9781938168383
Author:Jay Abramson
Publisher:Jay Abramson
Chapter6: Exponential And Logarithmic Functions
Section6.8: Fitting Exponential Models To Data
Problem 3TI: Table 6 shows the population, in thousands, of harbor seals in the Wadden Sea over the years 1997 to...
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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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