Question
The total cost in dollars to buy uniforms for the players on a volleyball team can be found using the function c = 34.95u + 6.25, where u is the number of uniforms bought. If there are at least 8 players but not more than 12 players on the volleyball team, what is the domain of the function for this situation?
F.
0 < u ≤ 12
G.
0 < c ≤ 425.65
H.
{ 8, 9, 10, 11, 12 }
J.
{ 285.85, 320.80, 355.75, 390.70, 425.65 }
F.
0 < u ≤ 12
G.
0 < c ≤ 425.65
H.
{ 8, 9, 10, 11, 12 }
J.
{ 285.85, 320.80, 355.75, 390.70, 425.65 }
Answers
GPT-4o mini
To determine the appropriate domain of the function \( c = 34.95u + 6.25 \) in the context provided, we need to identify the possible values for \( u \), which represents the number of uniforms bought.
The problem states that there are at least 8 players but not more than 12 players on the volleyball team. This means that:
- The minimum value for \( u \) is 8 (since there are at least 8 players).
- The maximum value for \( u \) is 12 (since there are not more than 12 players).
Thus, the values that \( u \) can take are the integers from 8 to 12 inclusive. This gives us the specific set:
\[
\{8, 9, 10, 11, 12\}
\]
Therefore, the correct answer is:
**H. { 8, 9, 10, 11, 12 }**
The problem states that there are at least 8 players but not more than 12 players on the volleyball team. This means that:
- The minimum value for \( u \) is 8 (since there are at least 8 players).
- The maximum value for \( u \) is 12 (since there are not more than 12 players).
Thus, the values that \( u \) can take are the integers from 8 to 12 inclusive. This gives us the specific set:
\[
\{8, 9, 10, 11, 12\}
\]
Therefore, the correct answer is:
**H. { 8, 9, 10, 11, 12 }**