3. [10 Points] The number of internet hosts grew very rapidly from 2000 to 2018 (see table below). Let x represent the number of years since 2000. Internet Hosts (millions) Year Hosts 2000 183.1 2003 414.7 2006 659.9 2009 828.7 2012 1500.4 2015 2100.5 2018 3100.2 (a) Find an exponential regression model for this data set and use the model to estimate the number of hosts in year 2020 (to the nearest million). (b) Find the rate of change of hosts in year 2009 and 2015. Interpret your results [10 Points] The salvage value S (in dollars) of a company jet after t years is estimated to be given by the formula below. 2(t) = 300,000 (0.8) Use the model to answer the following questions and interpret your results. (a) What is the rate of depreciation (in dollars per year) after 1 year? (b) What is the rate of depreciation (in dollars per year) after 5 years? (c) What is the rate of depreciation (in dollars per year) after 10 years? [10 Points] According to a study conducted in 2003, the total number of U.S. jobs that are projected to leave the country by year t, where t = 0 corresponds to the beginning of 2000, is N(t) = 0.00215(1.12t + 5) 2.5 (0 p (0