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Steps to calculate the relative growth rate.

Assume the relative growth rate is a linear function of population at time t by using the formula . Show the steps to calculate the relative growth rate when P = 5.3 and when p= 7.2

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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