Mrs. Wilbanks is taking a group of students to see a play. The cost of

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) Responses C=500t+20t ; $1,700 cap c is equal to 500 t plus 20 t; $1,700 C=500+20t ; $1,700 cap c is equal to 500 plus 20 t; $1,700 C=520t ; $31,200 cap c is equal to 520 t; $31,200 C=500t+20 ; $30,020

1 answer

To model the situation, we can define the following variables:

$ C $: Total cost of the event
$ t $: Number of tickets sold, which in this case will be the number of students and teachers attending (60).

The total cost can be represented by the equation:

\[ C = 500 + 20t \]

Here, $ 500 $ represents the fixed cost of the bus rental, and $ 20t $ represents the total cost for the tickets where each ticket costs $20.

If 60 students and teachers plan to attend, we can substitute $ t = 60 $ into the equation:

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

So, the total cost for the event is $1,700.

The correct representation of the equation with total cost is:

$ C = 500 + 20t $ and the total cost if 60 attend is $1,700.