In a large single-elimination basketball tournament, the first round of play begins with 64 teams. in each successive round, the number of teams remaining in the tournament is reduced by half. this relationship can be described by the following exponential function.
defines the relationship.
In a large single elimination basketball tournament, the first round of the play begins with 64 teams.
In each successive round, the number of teams remaining in the tournament is reduced by half.
So the sequence formed will be 64, 32, 16, 8........
Now we have to find the relationship.
In the sequence there is a common ratio of in each successive term
Since explicit formula of an exponential sequence is
Therefore, equation representing the relationship will be
Left column x- axis
Right column : Tournament round
Left column: y-axis.
Right column: number of teams remaining
You expect the y -value, teams remaining to decrease as you go from the first round to the last round in the x-values.