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.

Functions and Change: A Modeling Approach to College Algebra (MindTap Course List)
6th Edition
ISBN:9781337111348
Author:Bruce Crauder, Benny Evans, Alan Noell
Publisher:Bruce Crauder, Benny Evans, Alan Noell
Chapter1: Functions
Section1.2: Functions Given By Tables
Problem 32SBE: Does a Limiting Value Occur? A rocket ship is flying away from Earth at a constant velocity, and it...
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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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