# [10 marks) 5. An electricity company charges its customers a base rate of \$15 a month…

[10 marks) 5. An electricity company charges its customers a base rate of \$15 a month plus 8 cents per kilowatt-hour (kWh) for the first 1200 kWh and 12 cents per kWh for usage over 1200 kWh. Write the cost, C, in dollars as a function of x, the number of kWh used for 05x< 1500 and graph the function [8 marks] 6. A certain paper book sells for \$25. The author receives a royalty of 12% on the first 5000 copies sold, 15% on the next 10000 copies sold, and 20% for any additional copies sold. Write R, the amount of royalties in dollars as a function of x, the number of copies sold. [12 marks] 5x+2 (4 marks) (4 marks) (4 marks) 7. For the function f(x) a. Show that it is one-to-one. b. Find the inverse, f-(). c. Check that f(-'(x)) = x. (10 marks 1000 (4 marks) 8. Suppose that the population of a certain species is given by P(t) = where t is given in years. a. Find the inverse of P. b. Use the inverse in a. to find the time required for the population to reach 800. c. What happens to the population as time goes on, i.e. as (4 marks) (2 marks)

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