PLEASE ONLY USE GRADE 11 FUNCTIONS MATH TO SOLVE ALL THE PROBLEMS. SHOW YOUR WORK FOR ALL (PENCIL AND PAPER). Need it in less than an hour, thank you

Question 16 (7 points) A stockbroker tracks the progress of the price of a stock for several months and notices an exponential pattern. The results are shown in the table below. Month (t) 0 2 3 4 5 Stock Price $26.00 $27.82 $29.77 $31.85 $34.08 $36.47 P(t) a) From the table of values, determine an equation that models the stock's growth. Show your work for full marks! [2 marks] b) Explain how each part of your equation is related to the information from the table. [2 marks] c) Approximately how long it will take for the stock to reach a price of $100 if the current trend continues? Justify your answer. [2 marks] d) Suggest a reason why your answer in part 'c' is unrealistic? [1 mark]