16. (12 points) Let f(x) = x2 + 3x. Simplify J(7+ h) - f(7) h completely. Show all your work. 17. (14 points) Since May 1, when there were 100,800 unvaccinated people in Spartan County, the number of unvaccinated people in Spartan County has been decreasing expo- nentially. In fact, t days after May 1, P(t), the number of unvaccinated people in Spartan County, can be modelled by P(t) = 100800e --02t How many days will it take after May 1 for the number of unvaccinated people in Spartan County to decrease to 10000? USE ALGEBRA, not guessing or calculator estimation, to determine the answer. Show all your work, round off your final numerical answer to the nearest .1, if necessary, and give your final answer in the form of a complete sentence, using the correct units. 18. (14 points) Consider the polynomial function f(x) = (x -2)(r -3)(x - 4)(2 + 35)(2 + 36)(x - 101)(x - 102). (a) List the real zero(s) of f. (b) Sketch the graph of f(r). Make sure that the key qualitative features of the graph are clearly visible in your graph, including the above information you found about zeros. You do not have to draw your graph to scale; in fact, it may not be possible to draw the graph to scale and also make the key features of the graph clearly visible. 19. (14 points) Freedonia City has finally finished fully vaccinating all of its 277,863 cit- izens! Each citizen of Freedonia City received one of two vaccines: either the Modizer vaccine, which requires 3 shots to get someone fully vaccinated, or the Plierna vaccine, which requires 5 shots to get someone fully vaccinated. To vaccinate all of the citizens of Freedonia City, it took 1,088,325 shots in total, including both Modizer and Pfierna shots. How many people in Freedonia City received the Modizer vaccine? USE ALGEBRA, not guessing, to determine your answer. Show all your work and give your final answer in the form of a complete sentence, using the correct units, rounding off the numerical part of your answer to the nearest whole number. 20. (14 points) Let f(x) = 23 -x2 -10r - 8. Find the rational zeros of f(x) by factoring f(x) completely. Show all your work. Make sure you include both the complete list of zeros of f(x) and the factorization of f (x) in your final