In 2020 the world population was 7.8 billion people and growing at a rate of 80 million people/year. One study found the carrying capacity of the earth to be 100 billion people. Let P(t) = the population of the earth (in billions of people) in year t and assume the earth's population is growing logistically. a) Estimate the earth's population in 2050. 0" 10.5632 billions of people (Round to one decimal place. ) b) Another study put the carrying capacity at 50 billion people. Estimate the earth's population in 2050 with this new carrying capacity. billions of people (Round to one decimal place.)