Question

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

Answer 1

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**