To model the situation, let's define the variables involved:
- Let \( C \) be the total cost of the event.
- Let \( t \) be the number of tickets (students and teachers attending).
The equation for the total cost can be set up as follows:
\[ C = 500 + 20t \]
This means the total cost \( C \) consists of a fixed cost of $500 for the bus rental, plus $20 for each ticket.
If 60 students and teachers are attending, we substitute \( t = 60 \) into the equation:
\[ C = 500 + 20(60) \] \[ C = 500 + 1200 \] \[ C = 1700 \]
Thus, the total cost for the event if 60 students and teachers plan to attend is $1,700.
The corresponding option from your responses is:
C=500+20t ; $1,700