The mass of bacteria in a labaratory experiment increases exponentially by 22% each hour. The mass of bacteria was 8 micrograms when the experiment began. You are interested in predicting how long it will take for the mass of bacteria to reach 100 micrograms. a. Dene a function f to represent the mass of bacteria (in micrograms) as a function of the number of hours t since the experiment began. f(t) = a I Preview I syntax error b. What output value are we looking for based on the problem context? a micrograms IEI c. After completing parts (a) and (b), use the graph to determine how long it will take for the mass of bacteria to reach 100 micrograms. hours I Preview I Use the applet below to solve the equation 7(1.18) = 20 by graphing a function and an output value of the function. Function: y = Preview y 21 Output value: y = Preview 18 15 12 9 6 3 3 4 5 6 The solution is a ~ Preview Submita. Which of the following best describes the meaning of the solution to the equation 60.25)\" = 2\"? O The identical output values of f(:c) = 6(1.25)'l and g(:c) = 2\" where the graphs intersect. O The output value of f(:c) = 6(1.25)m and 9(3) = 23 when the input values are the same. 0 The input value :c that makes f(a:) = 60.25)\" and 9(a) = 22 have the same output value' 0 The ordered pair (:0, y) where the graphs of at) 2 6(1.25)I and 9(a) = 22 intersect, b. Based on the graph below, which of the following is a solution to the equation 6(1.25)I = 2'\"? O 14.05 0 (0, 14.05) 0 3.81 o (3.81, 14.05) 0 (3.81, 0) Submit Since 2000, two different towns had populations that changed exponentially. Town A's population was 42,680 at the beginning of 2000 and changed by 28% per year. Town B's population was 57,920 at the beginning of 2000 and changed by -3.7% per year. How many years since the beginning of 2000 did it take for the two towns to have the same population? l: I years Preview Submit