Question

the fifa world cup is an international soccer tournament played every four years. the table below gives data about the year in which the tournament was held, the country who hosted the tournament, the winner of the tournament, and the total number of goals scored.

year	host country	winner	goals scored
1958	sweden	brazil	126
1962	chile	brazil	89
1966	england	england	89
1970	mexico	brazil	95
1974	germany	germany	97
1978	argentina	argentina	102
1982	spain	italy	146
1986	mexico	argentina	132
1990	italy	germany	115
1994	usa	brazil	141
1998	france	france	171
2002	korea/japan	brazil	161
2006	germany	italy	147
2010	south africa	spain	145
2014	brazil	germany	171

1. who won the world cup in 2006? how many goals were scored in the tournament?
2. when argentina won the world cup, how many goals were scored?
3. does knowing the year the tournament was held determine who won the tournament? why or why not?
4. does knowing who won the tournament determine the number of goals scored in the tournament? why or why not?
5. does knowing the host country of the tournament determine the year in which tournament was played? why or why not?

Explanation:

Step1: Find 2006 data

Look at the row for 2006 in the table. The winner is Italy and the goals scored is 145.

Step2: Find Argentina - winning years

Argentina won in 1978 and 1986. In 1978, 146 goals were scored and in 1986, 115 goals were scored.

Step3: Analyze year - winner relationship

For each year, there is a unique winner. So, knowing the year determines the winner.

Step4: Analyze winner - goals relationship

For example, Brazil won multiple times with different goal - scoring totals. So, knowing the winner does not determine the number of goals scored.

Step5: Analyze host - year relationship

For example, Mexico hosted in 1970 and 1986. So, knowing the host country does not determine the year.

Answer:

1. Italy, 145
2. 146 (in 1978) and 115 (in 1986)
3. Yes, because for each year there is a unique winner.
4. No, because the same winner can have different goal - scoring totals in different years.
5. No, because the same host country can host in different years.