1. An airline offers daily flights between Chicago and Denver. The total monthly cost C (in millions of dollars) of these flights can be modeled by C = √0.2x + 1 where x is the number of passengers (in thousands). The total cost of the flights for June is 2.5 million dollars. How many passengers flew in June?
2. The number of registered nursing graduates N (in thousands) in the United States from 2003 to 2014 can be modeled by N = √734.024 + 1839.666t, 3 ≤ t ≤ 14 where t represents the year, with t = 3 corresponding to 2003. (Source: National Council of State Boards of Nursing)
(a) In which year did the number of registered nursing graduates reach 135,000?
(b) Use the model to predict when the number of registered nursing graduates will reach 200,000. Is this prediction reasonable? Explain.