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.
A) C = 500t + 20t; $1,700
B) C = 500t + 20; $30,020
C) C = 520t; $31,200
D) C = 500 + 20t; $1,700

Answer 1

To create an equation that models the total cost, let's define the variables:

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

The cost of the bus rental is a fixed cost of $500, and the cost of tickets is $20 per person. Therefore, the equation for the total cost is:

\[
C = 500 + 20t
\]

Next, we need to find the total cost if 60 students and teachers are attending (so \( t = 60 \)):

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

Now, let's analyze the options given:

A) \( C = 500t + 20t; \) $1,700$
B) \( C = 500t + 20; \) $30,020$
C) \( C = 520t; \) $31,200$
D) \( C = 500 + 20t; \) $1,700$

The correct equation that models the situation is:

\[
\text{D) } C = 500 + 20t
\]

And the total cost for 60 students and teachers is $1,700. Thus, the correct answer is D) \( C = 500 + 20t; \) $1,700$.