A coach has 88 golf balls for the school's golf team.
The coach will give each player on the team 11 golf balls. The graph shows the linear relationship between y, the number of golf balls remaining for the team, and x, the number of players on the team.
The coach will use no more than 5 players on the school's golf team. Which set best represents the range of the function for this situation?
• {88, 77, 66, 55, 44, 33 }
• {88, 80, 72, 64, 56, 48 }
• <0, 1, 2, 3, 4, 5%
• {11, 12, 13, 14, 15, 16 }
The coach starts with 88 golf balls and gives each player 11 golf balls. So, the number of golf balls remaining for the team can be calculated as follows:
Remaining golf balls = 88 - (11 * number of players)
To find the range of the function, we need to plug in different values for the number of players and see what values we get for the remaining golf balls.
Let's calculate the remaining golf balls for each option:
Option 1: {88, 77, 66, 55, 44, 33 }
For 0 players, remaining golf balls = 88 - (11 * 0) = 88
For 1 player, remaining golf balls = 88 - (11 * 1) = 77
For 2 players, remaining golf balls = 88 - (11 * 2) = 66
For 3 players, remaining golf balls = 88 - (11 * 3) = 55
For 4 players, remaining golf balls = 88 - (11 * 4) = 44
For 5 players, remaining golf balls = 88 - (11 * 5) = 33
Option 2: {88, 80, 72, 64, 56, 48 }
Same as option 1, just shifted by 8 units. This doesn't make sense in the context of the problem since there is a constant decrease of 11 golf balls for each additional player.
Option 3: <0, 1, 2, 3, 4, 5%
This set seems to be unrelated to the problem since it doesn't represent the remaining golf balls for any specific number of players.
Option 4: {11, 12, 13, 14, 15, 16 }
This set represents the number of golf balls each player receives, not the remaining golf balls for the team.
Based on our analysis, the set that best represents the range of the function for this situation is:
{88, 77, 66, 55, 44, 33 }