To model this situation with an equation, we can define two variables:
- Let \( x \) be the number of tickets purchased (which includes both students and teachers).
- Let \( C \) be the total cost of the event.
The total cost can be expressed as the sum of the bus rental cost and the cost of the tickets.
The cost of the bus rental is a fixed amount of $500, and the cost of the tickets is $20 per ticket. Therefore, the equation that models this situation is:
\[ C = 500 + 20x \]
Next, since 60 students and teachers plan to attend, we can substitute \( x \) with 60 in the equation to calculate the total cost:
\[ C = 500 + 20(60) \]
Now, we can perform the calculation:
\[ C = 500 + 1200 \] \[ C = 1700 \]
Thus, the total cost for the event with 60 students and teachers attending would be $1700.