The equation or tape diagram could be used to represent the context if p represents the number of players the team can bring to the tournament is B. 2045.5 - 1041.5 / 62.75p = p. Therefore, B. 2045.5 - 1041.5 / 62.75p = p is correct.
The equation that could be used to represent the context is:
2045.5 - 1041.5 / 62.75p = p
This equation represents the following:
2045.5 is the total amount of money the team raised.
1041.5 is the cost of renting the bus.
62.75p is the cost of meals for p players.
0 is the amount of money left over after paying for the bus and meals.
We want to know how many players the team can bring to the tournament, so we set the equation equal to 0 and solve for p.
2045.5 - 1041.5 - 62.75p = 0
1004 - 62.75p = 0
62.75p = 1004
p = 1004 / 62.75
p = 16
Therefore, the team can bring 16 players to the tournament.
Tape diagram:
2045.5
/ \
/ \
/ \
/ \
62.75p 1041.5
This tape diagram shows the following:
The total amount of money raised is $2045.50.
The cost of renting the bus is subtracted from this amount, leaving $1004.
The cost of meals for each player is subtracted from this amount, leaving 0.
The goal is to find the number of players that can be brought to the tournament, so we are looking for the value of p that makes the equation equal to 0. In this case, p = 16.