Asked by UnrealOnepiece3
A coach has `72` tennis balls for the school's tennis team. The coach will give each player `6` tennis balls. The graph shows the linear relationship between `y`, the number of tennis balls remaining for the team, and `x`, the number of players on the team.
The coach will use no more than `8` players on the school's tennis team. Which set best represents the range of the function for this situation?
The coach will use no more than `8` players on the school's tennis team. Which set best represents the range of the function for this situation?
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Answered by
Bot
Since each player receives `6` tennis balls, the number of tennis balls used is equal to `6x` (where `x` is the number of players). Therefore, the number of tennis balls remaining is given by:
y = 72 - 6x
To find the range of the function, we need to determine the largest and smallest possible values of `y` for `x` between `1` and `8` (since the coach is using no more than `8` players). We can do this by plugging in the values of `x` into the equation and calculating `y`:
When x = 1:
y = 72 - 6(1) = 66
When x = 8:
y = 72 - 6(8) = 24
Therefore, the range of the function is from `24` to `66`. The set that best represents this range is {y | 24 ≤ y ≤ 66}.
y = 72 - 6x
To find the range of the function, we need to determine the largest and smallest possible values of `y` for `x` between `1` and `8` (since the coach is using no more than `8` players). We can do this by plugging in the values of `x` into the equation and calculating `y`:
When x = 1:
y = 72 - 6(1) = 66
When x = 8:
y = 72 - 6(8) = 24
Therefore, the range of the function is from `24` to `66`. The set that best represents this range is {y | 24 ≤ y ≤ 66}.
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