Show your work. Don’t forget to define your variables!
Use the phrase is a function of to describe the situation Tickets 2 3 6 Total Cost $32.00 $44.50 $82.00 represented by the equation you wrote in problem 3a.
How much is each movie ticket?
Let's define the variable "x" as the cost of each movie ticket.
According to the given situation:
- For 2 tickets, the total cost is $32.00. This can be represented as 2x = $32.00.
- For 3 tickets, the total cost is $44.50. This can be represented as 3x = $44.50.
- For 6 tickets, the total cost is $82.00. This can be represented as 6x = $82.00.
Now, we can solve these equations to find the value of "x".
For 2 tickets:
2x = $32.00
Divide both sides of the equation by 2:
x = $32.00 / 2
x = $16.00
For 3 tickets:
3x = $44.50
Divide both sides of the equation by 3:
x = $44.50 / 3
x ≈ $14.83
For 6 tickets:
6x = $82.00
Divide both sides of the equation by 6:
x = $82.00 / 6
x ≈ $13.67
Therefore, each movie ticket costs $16.00 for 2 tickets, $14.83 for 3 tickets, and approximately $13.67 for 6 tickets.