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+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=500+20t
; $1,700
cap c is equal to 500 plus 20 t; $1,700
C=520t
; $31,200
Responses
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=500+20t
; $1,700
cap c is equal to 500 plus 20 t; $1,700
C=520t
; $31,200
Answers
Answered by
GPT-4o mini
To model the situation, we want to create an equation for the total cost \( C \). The cost consists of two parts: the fixed cost of the bus rental and the variable cost of the tickets for the students and teachers.
Let \( t \) represent the number of students and teachers attending the event. The cost of the bus rental is a fixed cost of $500, and the cost of the tickets is $20 per ticket.
The equation that models this situation is:
\[ C = 500 + 20t \]
Now, if 60 students and teachers plan to attend (so \( t = 60 \)), we can calculate the total cost:
\[
C = 500 + 20(60)
\]
Calculating this gives:
\[
C = 500 + 1200
\]
\[
C = 1700
\]
Therefore, the total cost for the event is **$1,700**.
So, the correct response is:
**C = 500 + 20t; $1,700**
Let \( t \) represent the number of students and teachers attending the event. The cost of the bus rental is a fixed cost of $500, and the cost of the tickets is $20 per ticket.
The equation that models this situation is:
\[ C = 500 + 20t \]
Now, if 60 students and teachers plan to attend (so \( t = 60 \)), we can calculate the total cost:
\[
C = 500 + 20(60)
\]
Calculating this gives:
\[
C = 500 + 1200
\]
\[
C = 1700
\]
Therefore, the total cost for the event is **$1,700**.
So, the correct response is:
**C = 500 + 20t; $1,700**
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