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

C=500t+20
; $30,020
cap c is equal to 500 t plus 20; $30,020

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

C=520t
; $31,200

Answer 1

To model the situation, we want to create an equation for the total cost \( C \). The cost consists of two parts: the fixed cost of the bus rental and the variable cost of the tickets for the students and teachers.

Let \( t \) represent the number of students and teachers attending the event. The cost of the bus rental is a fixed cost of $500, and the cost of the tickets is $20 per ticket.

The equation that models this situation is:

\[ C = 500 + 20t \]

Now, if 60 students and teachers plan to attend (so \( t = 60 \)), we can calculate the total cost:

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

Calculating this gives:

\[ C = 500 + 1200 \] \[ C = 1700 \]

Therefore, the total cost for the event is $1,700.

So, the correct response is:

C = 500 + 20t; $1,700