7. [0.4/1 Points] DETAILS dP dt Suppose the population of the world was about 6.3 billion in 2000. Birth rates around th

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7 0 4 1 Points Details Dp Dt Suppose The Population Of The World Was About 6 3 Billion In 2000 Birth Rates Around Th 1 (176.35 KiB) Viewed 54 times

7. [0.4/1 Points] DETAILS dP dt Suppose the population of the world was about 6.3 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. 315² PREVIOUS ANSWERS (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. Calculate k using the maximum birth rate and maximum death rate. Round your value of k to six decimal places. Let t = 0 correspond to the year 2000.) P 1 P 20 2100 2600 SCALCET8 9.4.009. X (b) Use the logistic model to estimate the world population (in billions) in the year 2010. (Round your answer to two decimal places.) 6.50 billion Compare this result with the actual population of 6.9 billion. This result underestimates the actual population of 6.9 billion. (c) Use the logistic model to predict the world population (in billions) in the years 2100 and 2600. (Round your answers to the nearest hundredth.) 7.74 15.11 MY NOTES billion X billion PRACTICE ANOTHER