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

C500+20t; $1,700

OC500t+20t; $1,700

C500t+20, $30,020

C520t; $31,200

Answer 1

To create an equation that models the situation, we can define the variables as follows:

• Let \( C \) be the total cost.
• Let \( t \) be the number of tickets (which represents the number of students and teachers attending).

The total cost \( C \) can be expressed as:

\[ C = 500 + 20t \]

where $500 is the fixed cost of the bus rental, and $20t is the variable cost of the tickets for the attendees.

Now, if 60 students and teachers plan to attend (thus, \( t = 60 \)), we can substitute this value into the equation:

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

So the total cost for the event will be $1,700.

The correct answer from the choices given is:

• C = 500 + 20t; $1,700