Mrs. Wilbanks is taking a group of students to see a play. The cost of the bus rental to transport her class is $500 and the cost per ticket to see the play is $20. Create an equation with two variables that models this situation, then find the total cost for the event if 60 students & teachers plan to attend.

Question

A. C = 500t + 20; $30,020
B. C = 500 + 20t; $1,700
C. C = 500t + 20t; $1,700
D. C = 520t; $31,200

Answer 1

To create an equation that models the situation where Mrs. Wilbanks is taking a group of students to see a play, we have the following information:

• The bus rental cost is a fixed cost of $500.
• The cost of each ticket is $20.
• Let \( t \) represent the number of tickets (which corresponds to the number of students and teachers attending).

The total cost \( C \) can be modeled by the equation: \[ C = 500 + 20t \] where \( 500 \) is the cost of the bus rental and \( 20t \) is the cost for the tickets for \( t \) attendees.

If 60 students and teachers plan to attend, then we substitute \( t = 60 \) into the equation:

\[ C = 500 + 20(60) \] Calculating this gives: \[ C = 500 + 1200 = 1700 \]

Therefore, the total cost for the event if 60 students and teachers plan to attend is $1,700.

The correct choice is: B. C = 500 + 20t; $1,700