Question 2. The growth rates of the populations of two species of plants (measured in new plants per year) are shown in the graph. We may assume that the populations of the two species are equal at time t = 0. new plants per year 4500 3000 1500 • When t = 3 months, what is 1 2 Species 2 Species 1 t (years) dP₁ dt -, the rate of change of the population of Species 1? • Approximately how much does the population of Species 1 increase during the first two years? Describe two different ways that you could make this estimate. • Which population is larger after one year? How do you know? After two years? • Which population is larger after 2.5 years? How do you know?

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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Question 2. The growth rates of the populations of two species of plants (measured in new plants per year)
are shown in the graph. We may assume that the populations of the two species are equal at time t = 0.
new plants per year
4500
3000
1500
• When t = 3 months, what is
1
2
Species 2
Species 1
t (years)
dP₁
dt
-, the rate of change of the population of Species 1?
• Approximately how much does the population of Species 1 increase during the first two years? Describe
two different ways that you could make this estimate.
• Which population is larger after one year? How do you know? After two years?
• Which population is larger after 2.5 years? How do you know?
Transcribed Image Text:Question 2. The growth rates of the populations of two species of plants (measured in new plants per year) are shown in the graph. We may assume that the populations of the two species are equal at time t = 0. new plants per year 4500 3000 1500 • When t = 3 months, what is 1 2 Species 2 Species 1 t (years) dP₁ dt -, the rate of change of the population of Species 1? • Approximately how much does the population of Species 1 increase during the first two years? Describe two different ways that you could make this estimate. • Which population is larger after one year? How do you know? After two years? • Which population is larger after 2.5 years? How do you know?
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