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

Answer 1

To create an equation that models the situation, we define:

- \( C \) as the total cost of the event.
- \( t \) as the number of tickets (students and teachers attending).

Based on the information provided:
- The cost of the bus rental is $500.
- The cost per ticket is $20.

The equation modeling the total cost \( C \) would therefore be:

\[ C = 500 + 20t \]

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

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

Therefore, the total cost for the event is **$1,700**.

The correct response is:
**C = 500 + 20t ; $1,700**.