Management Kdan Cloud ΑΞ A Share sample exam questions Topic 5 Outlines Q Search No outlines 167% Tool + Tv Tv □ v OV T Comment & Markup Annotation FAX OCR Q Editor OCR Convert Fax Search Sample exam questions Topic 1: Exponential and logarithmic functions Question 1 The number of members of the Royal Belgian Tennis Association has increased exponentially in the last century. In the founding year of 1902, there were only 800 members but every decade since that time this number has increased by 18%. Consider the time as a continuous variable. a) Calculate the yearly growth percentage of the number of members in this tennis association. Round to two decimals. However, the membership fee that members have to pay has also increased exponentially over the years. At the establishment, the membership fee (converted into euros) was only € 1.5 per year. This amount has increased by 1.9% every year since the start. However, the following rule can be found in the statutes: "By a decision of the annual general meeting, the members will be obliged to pay a yearly membership fee of a maximum of 25 euros." b) Assuming that the yearly increase of 1.9% continues in the future, when can the tennis association no longer increase its yearly membership fee according to the rule laid down in the statutes? Express the result in years since the year of foundation. c) Show a graph of the value of the membership fee per year as a function of the time, expressed in years, from the year of foundation until at least 200 years later using a logarithmic scale on the vertical axis and a regular scale on the horizontal axis. (Do not merely show the graph. You must explain how you set up the graph as well.) d) Show that the total revenue that the treasurer of the tennis association receives in one year also increases exponentially in the 20th century and give the yearly growth percentage of this. Oops! This version of PDF Reader you are using PDF is outdated. Please upgrade to the latest version! 1 12