Consider the following case of exponential growth. Complete parts a through c below The population of a town with an initial population of 67,000 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=x¹ (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 67,000 Year-t 6 7 8 9 10 5 (Round to the nearest whole number as needed.)

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
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Chapter2: Second-order Linear Odes
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K
Y
Consider the following case of exponential growth. Complete parts a through c below
The population of a town with an initial population of 67,000 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=x¹
(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
OA.
lation
Population
67,000
4
5
(Round to the nearest whole number as needed.)
c. Make a graph of the exponential function. Choose the correct graph below.
130,000
Year-t
6
7
8
(
9
10
OB.
lation
140,000
1 c
0c
Transcribed Image Text:K Y Consider the following case of exponential growth. Complete parts a through c below The population of a town with an initial population of 67,000 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=x¹ (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 OA. lation Population 67,000 4 5 (Round to the nearest whole number as needed.) c. Make a graph of the exponential function. Choose the correct graph below. 130,000 Year-t 6 7 8 ( 9 10 OB. lation 140,000 1 c 0c
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