# 200m Backstroke

### Just Keep Swimming, Just Keep Swimming,...

## The Strong and Determined

Swimming is a common skill that many know and is dated back many years. Everyone loves a good a swim in the water, but what about a 200m backstroke. The Backstroke is when a person is swimming on their back while moving their arms backwards. It takes a good amount of determination and strength to swim like this for 200m.

## Catching Up

The fastest time in the 200m backstroke for men gold medalists are 113.41 seconds performed by Tyler Clary. For women gold medalists the fastest time is 124.06 seconds which was performed by Missy Franklin. The men's time is faster than the women's, but the women's time is progressing and getting faster.

## The Goal

In a certain amount of years, the women's time will either exceed or be the same as the men's time. The goal of this study is to find the year of when this will occur.

## 1976-1988 In these 4 Olympic years, the men's time did not show much progression. The womens's time became 4 seconds faster from 1976 to 1988. | ## 1992-2004 From 1992 to 2004 the men's time got faster by 4 seconds. The Women's time got slower by 2 seconds in these olympic years. | ## 2004-2012 In these 3 olympic years, the men's time became 1 second faster. The women's time became 5 seconds faster. |

## 1976-1988

In these 4 Olympic years, the men's time did not show much progression. The womens's time became 4 seconds faster from 1976 to 1988.

## 1992-2004

From 1992 to 2004 the men's time got faster by 4 seconds. The Women's time got slower by 2 seconds in these olympic years.

## The CatchUp Year?

## The Y-Coordinate

The y-coordinate is the vertical line and the second coordinate point in an ordered pair. In the graph it represents the time in seconds the men and women gold medalists achieved over the years. According to the graph, when women medalists catch up with men medalists when they both approximately have the time of -126.36 seconds. The graph shows that men and women medalists will have less than 0 seconds as their 200m backstroke time one day. This is not possible and so this means that their times will never be the same. Women medalists will never catch up with the men

## The X-Coordinate

The X-coordinate is the horzantil line on the graph and is the first coordinate point in an ordered pair. On the graph, it represents the years. The graph shows that in the year 3127 women medalists will catch up with men medalists. The Olympic year would be 3128. Women gold medalist times would catch up with the men gold medalist times in more than 1,000 years from now, but the time they would take would be around -126.36 seconds. This cannot happen so that means women's time will never catch up with the men' time.