Problem Solving Question 1 (20 points). Linguistic change can be modeled by a special kind of exponential function. In a certain country, the use of the word google as a verb instead of as a brand name follows the function G(t) 1 4 Ae-kt ' where G(t) is the percentage of the population (expressed as a decimal) who use the word google as a verb and t is the number of years after 2000 (e.g., the year 2001 corresponds to t = 1). In 2000, 0.14% of the population use the word google in such a way. In 2010, this percentage rose to 63.4%. (a) Determine the values of A and k. (Round your answer for A to two decimal places and your answer for k to four decimal places.) (b) In what year can we expect 95% of people to use the word google as a verb