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Find the relative growth rate.
Assume the relative growth rate is a linear function of population at time t by using the formula . (1/p)(dp/dt) = b + at.
Time
T
Population
symmetric difference quotient
Relative Growth Rate
1790
0
3.9
1800
10
5.3
0.1650
1810
20
7.2
0.2150
1820
30
9.6
0.2850
1830
40
12.9
0.3750
1840
50
17.1
0.5150
1850
60
23.2
0.7150
1860
70
31.4
0.8300
1870
80
39.8
0.9400
1880
90
50.2
1.1550
1890
100
62.9
1.2900
1900
110
76
1.4550
1910
120
92
1.4850
1920
130
105.7
1.5400
1930
140
122.8
1.3000
1940
150
131.7
1.4250
1950
160
151.3
2.3800
1960
170
179.3
2.6000
1970
180
203.3
2.3600
1980
190
226.5
2.2700
1990
200
248.7
2.7450
2000
210
281.4
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