# Gold Medel Project Essay

751 WordsApr 22, 20144 Pages
Gold Medal Heights Gregory Gallegos Introduction The Olympic Games is a major event occurring every 4 years. International athletes come together to represent their country at a sport, first place winning a gold medal. This assignment aims to consider the trends of the winning men gold medalist’s high jump heights at various Olympic Games. Considering Data - Heights of Olympic Games 1932 - 1980 The table below gives the height achieved by the men gold medalist’s high jumpers at various Olympic Games between 1932 and 1980. Table 1: The winning heights of men’s high jumping in Olympic Games for years between 1932 and 1980. (Excluding 1940 and 1944) Year | 1932 | 1936 | 1948 | 1952 | 1956 | 1960 | 1964 | 1968 | 1972 | 1976 | 1980 | Height(cm) | 197 | 203 | 198 | 204 | 212 | 216 | 218 | 224 | 223 | 225 | 236 | Aim: the aim of this task is to consider the winning height for the men’s high jump in the Olympic Games. Investigation Define all variables used and state any parameters clearly. For the graph made from the table of the gold medalists from different years, the y-axis while be the height in cm while the x-axis will be the year the medal was obtained. What type of function models the behavior of the graph? Explain why you chose this function. Analytically create an equation to model the data in the graph above. With this graph and the numbers given in the table I am able to develop a model of a function that fits the data points in my graph. For this graph I chose a linear function to model it because the graph shows a general increase on the heights and based on this the linear is the best option. The function to be used is y=mx+b The points to be used is (0,197) and (44,225) Where 0 represents the first year shown in the table and 197 is the height obtained in this year and 44 show the difference between the years of 1932, first