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

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

C=500+20t
; $1,700

Answer 1

To model the situation with an equation, we can let \( C \) represent the total cost, and \( t \) represent the number of students and teachers attending. The cost of the bus rental is a fixed cost of $500, and the cost of tickets per person is $20. The equation that models this situation is:

\[ C = 500 + 20t \]

Now, let's calculate the total cost when \( t = 60 \) (for 60 students and teachers):

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

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

The correct response would be: C = 500 + 20t; $1,700.