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)

Answer 1

Let's denote:

• \( x \): the number of attendees (students and teachers)
• \( C \): the total cost of the event

The total cost for the event consists of the fixed cost of the bus rental and the variable cost of the tickets. The equation representing this situation can be expressed as:

\[ C = 500 + 20x \]

Where:

• \( 500 \) is the fixed cost of the bus rental.
• \( 20x \) is the cost of tickets at $20 each for \( x \) attendees.

Now, if 60 students and teachers plan to attend, we can substitute \( x = 60 \) into the equation to find the total cost \( C \):

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

Thus, the total cost for the event if 60 students and teachers plan to attend is $1700.