. .. 2:36 PM Mon Apr 17 A webassign.net A graphing calculator is recommended. The relative growth rate of world population has been decreasing steadily in recent years. On the basis of this, some population models predict that world population will even at a level that the planet can support. One such logistic model is P(t) = 76.8 6.4 + 5.7e-0.02t where t = 0 is the year 2000 and population is measured in billions. (a) What world population does this model predict for the year 2180? For 2280? (Round your answers to two decimal places.) 2180 X billion 2280 * billion (b) Sketch a graph of the function P for the years 2000 to 2500. P 14 141 12 12 10 10 O 100 200 300 400 500 O 100 200 300 400 500 P 14 12 10 6 100 200 500 O 200 O 100 300 400 300 400 500 (c) According to this model, what size does the world population seem to approach as time goes on? billion Need Help? Read It Watch It W# % A O W tab E Y U O P A S caps lock D F G H K Z shift X C B N M