To create a table, create one column for the number of teams and one column for the total number of players. Think of how you calculate the total number of players given the number of teams.
Table:
Number of Teams
Total Players
1
11
2
22
3
33
4
44
...
...
t
11t
Equation: p=11t Graph:
How Many Players Are on 17 Teams? 187 players.
Practice makes perfect
We have been asked to represent the given situation in three different ways before answering the question. Let's look at each of these individually.
As a Table
We can create a table to illustrate the change in the total number of players depending on how many teams there are. Let's assign the variable t to represent the number of teams in the league and p can represent the total number of players.
Number of Teams
(Players)*(Number of Teams)
Total Players
1
11* 1
11
2
11* 2
22
3
11* 3
33
4
11* 4
44
...
...
...
t
11* t
p
As an Equation
Looking at our table, we can see that the total number of players p is equal to the number of teams t multiplied by 11 since each team has 11 players. We can write this as a following equation.
p=11t
As a Graph
To show the relationship on a graph, we can first plot the points from our table.
We can extend this pattern using a dashed line. This line has to be dashed since we cannot have a fraction of a team.
Number of Players on 17 Teams
Finally, we are asked to find the total number of players in the league when there are 17 teams. We can do this by substituting t=17 into our equation and solving for p.
