FULL SOLUTIONS: Show calculations and work for full marks. Where appropriate, write full sentence responses. KNOWLEDGE 1. [ /6] Write as a single power with a positive exponent and then evaluate. Express each answer as a whole number or a fraction, not a decimal. a) 43 x 4 b ) ((-4) 2)0 c) (62)4 d) (-2)2 + (-2)5 e) F) ((- = )" ) THINKING & COMMUNICATION 2. [ /4] The population, P, of a small community can be modelled by the equation P = 29 000(1.031), where t is the time in years after 2017. a) What was the population in 2017? b) What will the population be in 2025? APPLICATION 3. [ /4] A town's raccoon population is growing exponentially. The expected population can be estimated using the relation P = 1350(1.013)", where P is the population and n is the number of years. a) What was the current raccoon population? b) What is the expected population in 5 years?4. [ /5] The world's population in 1980 was about 4.5 billion. Suppose the population increased at a rate of 2% per year since then. a) Write an exponential relation that models the problem. Explain what each variable represents. [2 marks] b) Use your answer to part a. to estimate the world's population in 2025. [1 mark] c) Use your answer to part a) to estimate the world's population in 1970. [1 mark] d) What assumptions are you making as you answer these questions? [1 mark]