Question

6. 0.2/1 points | Previous Answers SCalcET8 9.4.009 My Notes Ask Your Suppose the population of the world was about 6.4 billion in 2000. Birth rates around that time ranged from 35 to 40 million per year and death rates ranged from 15 to 20 million per year. Let's assume that the carrying capacity for world population is 20 billion (a) Write the logistic differential equation for these data. (Because the initial population is small compared to the carrying capacity, you can take k to be an estimate of the initial relative growth rate. Calculatek using the maximum birth rate and maxlmum death rate. Let t 0 correspand to the year 2000.) 0.0037736P1 (b) Use the logistic model to estimate the world population (in billions) in the year 2010. (Round your answer to two decimal places.) billion Compare this result with the actual population of 6.9 billion. This result underestimatesthe actual population of 6.9 billion. (c) Use the logistic model to predict the world population (in billions) in the years 2100 and 2400. (Round your answers to the nearest hundredth.) 2100 2400 billion billion

Answer 1

2000 dt 20000 C 6100 TE = 32011-200000 dt ( o00o-) G00000 640000oO 200000-P 20000 o P 640 上--tc 610 20 0000- 20 0000-f 143 699

t/ C1 (13 6 20000 O p i Population i 2010 pe o 6Y 413 1) ptt lod 100) : 20000a C4 dn 240 o NDU 113 hoo е 610+1 6