# Math Sl Fish Production

MODELING

The aim of this investigation is to consider commercial fishing in a particular country in two different environments, that is from the sea and a fish farm (aquaculture).

The following data provided below was taken form the UN Statistics Division Common Database. The tables gives the total mass of fish caught in the sea, in thousands of tones (1 tone = 1000 kilograms). Year | 1980 | 1981 | 1982 | 1983 | 1984 | 1985 | 1986 | 1987 | 1988 | Total Mass | 426.8 | 470.2 | 503.4 | 557.3 | 564.7 | 575.4 | 579.8 | 624.7 | 669.9 |

Year | 1989 | 1990 | 1991 | 1992 | 1993 | 1994 | 1995 | 1996 | 1997 | Total Mass | 450.5 | 379.0 | 356.9 | 447.5 | 548.8 | 589.8 | 634.0 | 527.8 | 459.1 |

Year | 1998 | 1999 |

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From the presented data it is shown that in some years the amount of fish caught rises, While in other years the amount of fish caught decreases. The reason of the amount of fish to decrease can be influenced by ecological factors and weather phenomena’s or even the state the farm was kept in.

Identifying variables: let y stand for the amount of fish caught from the fish farm and x stands for the years passed. It shows yx=amount of fish caught, so e.g. y1980=1.4.

The set of possible values of the variable on the horizontal axis is called the domain. Therefore {x | 1980 < x ≤ 2006} is the domain of the amount of fish caught.

The set which describes the possible y-values is called the range. Therefore the range of the fish caught is the total mass of fish from the fish farm.

From the data presented in Table2. it is possible to create a graph: Graph6. Amount of fish caught in the fish farm in years 1980-2006.

Yet again on the presented Graph2. it is easy to notice when the amount of fish caught from the fish farm increases and decreases. The most amount of fish 129.0 thousand tones, had been caught in the year 2006 as for the least amount of fish 1.4 thousand tones, had been caught in year 1980. Also it can be seen that the amount of fish caught in the fish farm is rising at most times and the decrease of fish is not very often.

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