Management Kdan Cloud ΑΞ A Share sample exam questions Topic 5 Outlines Q Search Tool + FAX Tv Tv □ v OV T OCR Q Comment & Markup Annotation Editor OCR Convert Fax Search Question 2 In the seventies, The Netherlands turned water into land, creating the province of Flevoland. Almere is a city located in Flevoland, which includes a nearby harbor, and had its first inhabitants at the harbor in 1976. From 1976 to 2018, both Almere harbor and Almere city experienced a constant increase in the number of inhabitants. We consider the following true values: Number of inhabitants in Almere harbor Number of inhabitants in Almere city January, 1976 January, 1985 18 21 410 January, 1992 January, 2018 22 685 unknown 0 17240 45 786 108 825 Flevoland No outlines We first look at the 7-year period from January 1985 to January 1992. In that period, the number of inhabitants in Almere harbor grew exponentially while the number of inhabitants in Almere city grew linearly. a) Write two equations that express the population size of Almere harbor and Almere city as a function of the time t (expressed in years since January 1985) during this 7-year period. b) When were there at least 22 000 inhabitants in Almere harbor for the first time? Express the result in years since January 1985, rounded to two decimals. c) After how many years since 1985 were the number of inhabitants in Almere harbor and the number of inhabitants in Almere city the same? You may use the graphical calculator to solve this question, but clearly explain how you proceed. We now look at the 26-year period from January 1992 to January 2018. The population size of both Almere harbor and Almere city are described by new models in this period, where now both grow exponentially. d) Find the yearly growth percentage of the population size in Almere city in this time period. e) Calculate the number of inhabitants in Almere harbor in January 2018 if you know that there are three times as many inhabitants in Almere city as in Almere harbor in January 2004. 140% 2 12