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

Answer 1

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

- Let \( C \) represent the total cost of the event.
- Let \( t \) represent the number of people attending (students and teachers).

The total cost consists of the bus rental and the cost of tickets per person. The equation can be modeled as:

\[
C = 500 + 20t
\]

Where:
- \( 500 \) is the fixed cost of the bus rental.
- \( 20t \) is the cost for the tickets for \( t \) people.

Now let's find the total cost for the event if 60 students and teachers plan to attend (\( t = 60 \)):

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

Calculating the ticket cost:

\[
20 \times 60 = 1200
\]

Now substitute back into the equation:

\[
C = 500 + 1200 = 1700
\]

Therefore, the total cost for the event is \(\$1,700\).

The correct equation is \( C = 500 + 20t \), and the total cost for 60 attendees is \(\$1,700\).