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.(1 point)

Question

Responses

C=500+20t
; $1,700
cap c is equal to 500 plus 20 t; $1,700

C=520t
; $31,200
cap c is equal to 520 t; $31,200

C=500t+20t
; $1,700
cap c is equal to 500 t plus 20 t; $1,700

C=500t+20
; $30,020

Answer 1

To model the situation with an equation, let:

• \( C \) represent the total cost.
• \( t \) represent the number of tickets (students and teachers) attending the play.

The fixed cost of the bus rental is $500, and the cost of each ticket is $20. Therefore, the equation modeling the total cost is:

\[ C = 500 + 20t \]

To find the total cost for 60 students and teachers, substitute \( t = 60 \) into the equation:

\[ C = 500 + 20(60) \] \[ C = 500 + 1200 \] \[ C = 1700 \]

Thus, the total cost for the event is $1,700. The correct response is:

C=500+20t; $1,700