Consider the following case of exponential growth. Complete parts a through c below. The population of a town with an initial population of 40,000 grows at a rate of 6.5% per year. a. Create an exponential function of the form Q = Qox (1+r). (where r>0 for growth and r<0 for decay) to model the situation described. Q=40,000 ×(1+0.065)¹ (Type integers or decimals.) b. Create a table showing the value of the quantity Q for the first 10 years of growth. Population Year=t 0 1 2 3 4 Population 40,000 Year t 6 7 8 9 10
Consider the following case of exponential growth. Complete parts a through c below. The population of a town with an initial population of 40,000 grows at a rate of 6.5% per year. a. Create an exponential function of the form Q = Qox (1+r). (where r>0 for growth and r<0 for decay) to model the situation described. Q=40,000 ×(1+0.065)¹ (Type integers or decimals.) b. Create a table showing the value of the quantity Q for the first 10 years of growth. Population Year=t 0 1 2 3 4 Population 40,000 Year t 6 7 8 9 10
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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Transcribed Image Text:Consider the following case of exponential growth. Complete parts a through c below.
The population of a town with an initial population of 40,000 grows at a rate of 6.5% per year.
a. Create an exponential function of the form Q=Qox(1+r). (where r>0 for growth and r<0 for decay) to model the situation described.
Q=40,000 x(1+0.065)¹
(Type integers or decimals.)
b. Create a table showing the value of the quantity Q for the first 10 years of growth.
Population
Year=t
0
1
2
3
4
Population
40,000
Year=t
6
7
8
9
10
5
(Round to the nearest whole number as needed.)
Transcribed Image Text:ound to the nearest whole number as needed.)
c. Make a graph of the exponential function. Choose the correct graph below.
OA
O C.
80,000
30,000-
80,000
40,000
Year
Year
E
10 5
O
B.
O D.
Population
Population
90,000
40,000+
80,000
20,000
Year
Year
10
10 E
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