Monday-$88 4 players
Tuesday-$154 7 players
Wednesday-$132 6 players
Thursday-$66 3 players
Friday-$ ? 2 players
A-on friday,the coach will collect fees from 2 more players.what is the total amount of money the coach will collect from the 2 players?
B-use words or symbols to write or discribe a rule that can be used to calculate the amount of money the coach will collect from the p players.
C- after every player on her team has paid the fee,the coach will have a total of $550.what is the total number of players on the team?show or explain how you got your answer.
hint:
sure looks like the coach is collecting $22 from each player.
So on Friday, he collects from 2 players, or $ .....?
So from p players, he collects $ .... ?
A - To find out how much money the coach will collect from the 2 players on Friday, we can look at the pattern in the given data.
- On Monday, with 4 players, the fee collected was $88.
- On Tuesday, with 7 players, the fee collected was $154.
- On Wednesday, with 6 players, the fee collected was $132.
- On Thursday, with 3 players, the fee collected was $66.
We can see that as the number of players increases, the fee collected also increases. To find out the amount collected from 2 players, we need to determine the rate at which the fee per player is increasing.
First, let's calculate the fee per player on average:
- Monday: $88 / 4 players = $22/player
- Tuesday: $154 / 7 players = $22/player
- Wednesday: $132 / 6 players = $22/player
- Thursday: $66 / 3 players = $22/player
Now we can use this average rate to calculate the fee for 2 players:
- Friday: $22/player * 2 players = $44
Therefore, the coach will collect $44 from the 2 players on Friday.
B - The rule to calculate the amount of money the coach will collect from p players is:
Fee collected = Average Fee per player * Number of players
In this case, the average fee per player is $22, and the number of players is p.
C - After every player on the team has paid the fee, the coach will have a total of $550. To find out the total number of players on the team, we need to subtract the cumulative fees collected from $550.
Let's calculate the cumulative fees collected from Monday to Thursday:
- Monday: $88
- Tuesday: $88 + $154 = $242
- Wednesday: $242 + $132 = $374
- Thursday: $374 + $66 = $440
Now, to find the total number of players, we need to subtract the cumulative fees collected from $550:
Total number of players = $550 - $440 = 110
Therefore, the total number of players on the team is 110.