mr. bartley is taking the theater club on a field trip to see the musical wicked. the school treasurer asked…

mr. bartley is taking the theater club on a field trip to see the musical wicked. the school treasurer asked mr. bartley for the groups total ticket cost. he wrote the following cost function for the school treasure: total cost = 52(25 + 2) which of the following statements could describe this cost function? select all that apply. the school will buy 52 tickets for the musical. tickets cost $25.00 for each student and $2.00 for each teacher. tickets cost $52.00 each, and there are 25 students and 2 teachers going on the field trip. a total of 52 people, which includes 25 students and 2 teachers, will attend the field trip. the bus fits 52 people, including 25 students and 2 teachers. tickets cost $25 and each person must contribute $2 for the bus. there are 52 people going on the trip.

mr. bartley is taking the theater club on a field trip to see the musical wicked. the school treasurer asked mr. bartley for the groups total ticket cost. he wrote the following cost function for the school treasure: total cost = 52(25 + 2) which of the following statements could describe this cost function? select all that apply. the school will buy 52 tickets for the musical. tickets cost $25.00 for each student and $2.00 for each teacher. tickets cost $52.00 each, and there are 25 students and 2 teachers going on the field trip. a total of 52 people, which includes 25 students and 2 teachers, will attend the field trip. the bus fits 52 people, including 25 students and 2 teachers. tickets cost $25 and each person must contribute $2 for the bus. there are 52 people going on the trip.

Answer

Explanation:

Step1: Analyze the cost - function structure

The cost function is $Total\ Cost = 52(25 + 2)$. In the context of cost - related problems, the general form of a total cost is $Total\ Cost=\text{Number of units}\times(\text{Cost per unit}+\text{Additional cost per unit})$. Here, 52 is likely the number of people going on the trip, and $(25 + 2)$ is likely the cost per person (ticket cost + additional cost per person).

Step2: Evaluate each option

  • Option 1: If the school will buy 52 tickets, and tickets cost $25 for each student and $2 for each teacher, the cost function should be something like $C = 52\times25+52\times2$ (using the distributive property), not $52(25 + 2)$ in the given form where it implies a single cost per person, so this option is incorrect.
  • Option 2: If tickets cost $52 each, and there are 25 students and 2 teachers, the cost function should be $C=52\times(25 + 2)$ but the interpretation of 52 as the ticket - price is wrong based on the structure of the cost function, so this option is incorrect.
  • Option 3: A total of 52 people going on the trip and $(25 + 2)$ being the cost per person makes sense as $Total\ Cost=52\times(25 + 2)$. This option is correct.
  • Option 4: The bus - capacity is not relevant to the cost function structure $52(25 + 2)$ which is about ticket and additional per - person cost, so this option is incorrect.
  • Option 5: If tickets cost $25 and each person must contribute $2 for the bus, and there are 52 people going on the trip, then the total cost is $52(25 + 2)$. This option is correct.

Answer:

The correct statements are:

  • Tickets cost $25 and each person must contribute $2 for the bus. There are 52 people going on the trip.
  • A total of 52 people, which includes 25 students and 2 teachers, will attend the field trip.