A community theater sold two types of tickets for a weekend performance. The theater’s ticket revenue totaled $3,200. The equation models this situation, where is the number of adult tickets sold and is the number of child tickets sold.
According to the equation, which of the following represents the price, in dollars, of each child ticket?
In a ticket-revenue equation, a coefficient is the number multiplying a ticket count. That number gives the price of one ticket, while the whole term gives the revenue from all tickets of that type. Follow the letter named in the question, then check whether it asks for one ticket or the group's total revenue.
Hints
- Hint 1
The letter counts child tickets. In a revenue equation, the term containing accounts for the money collected from that type of ticket. Which term contains ?
- Hint 2
A coefficient is the number multiplying a letter. The coefficient gives the price of one ticket; multiplying it by the ticket count gives the group's total revenue. Which of those does the question ask for?
Step-by-step
Read the child-ticket term
Step 1Identify the child-ticket revenue
No Desmos needed. You're interpreting the equation, not solving for the ticket counts. Since counts child tickets, represents the revenue from all the child tickets sold.
- Step 2
Find the price of one child ticket
The coefficient is the number multiplying , so it's . The coefficient gives the price of one child ticket; the full term gives the revenue from all of them. Each child ticket costs $8. Choice B.