To create an equation that models the situation, we define:
- \( C \) as the total cost of the event.
- \( t \) as the number of tickets (students and teachers attending).
Based on the information provided:
- The cost of the bus rental is $500.
- The cost per ticket is $20.
The equation modeling the total cost \( C \) would therefore be:
\[ C = 500 + 20t \]
Now, if 60 students and teachers plan to attend, we can substitute \( t = 60 \) into the equation to find the total cost:
\[ C = 500 + 20(60) \] \[ C = 500 + 1200 \] \[ C = 1700 \]
Therefore, the total cost for the event is $1,700.
The correct response is: C = 500 + 20t ; $1,700.