The population of XYZ city has been declining over the years due to multiple socioeconomic factors. Based on data collected by the townspeople between 2001 to 2015, they concluded that the population could be modeled using the function P(t) = 15200 (0.951), where t is the number of years since 2004. a) What does the value 15,200 represent in this problem?
The population of XYZ city has been declining over the years due to multiple socioeconomic factors. Based on data collected by the townspeople between 2001 to 2015, they concluded that the population could be modeled using the function P(t) = 15200 (0.951), where t is the number of years since 2004. a) What does the value 15,200 represent in this problem?
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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Transcribed Image Text:Situation 1:
The population of XYZ city has been declining over the years due to
multiple socioeconomic factors. Based on data collected by the townspeople
between 2001 to 2015, they concluded that the population could be modeled
using the function P(t) = 15200 (0.951), where t is the number of years since 2004.
a) What does the value 15,200 represent in this problem?
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b) Determine the rate of decay/rate of growth of XYZ city population. (Answer as
a percentage)
c) Using this model/function, predict the XYZ city population in 2021
a
ENG
US
7:56 pm 219
10/11/2022
Transcribed Image Text:Normal text
+
ent will
1
Century Go...
1
11
+ B I U A
-
T
3
P
GO
4
Y
E 1E = EE EE
T 5
d) If it happens that in 2016 the population of XYZ city increases exponentially at
a rate of 2.5%, what will be the population in 2025?
e.) If the population increases continuously, in what year will the population be
approximately equal to 25,500?
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