To determine the correct equation that represents the scenario, let's break down the information provided step-by-step:
1. Cost Details:
- The cost of a single ride pass is \[tex]$2.
- The cost of an all-day ride pass is \$[/tex]15.
2. Revenue Information:
- The total revenue for the day is \[tex]$2,960.
3. Variables:
- Let \( x \) represent the number of single ride passes sold.
- Let \( y \) represent the number of all-day ride passes sold.
4. Forming the Equation:
- The revenue generated from the single ride passes can be represented as \( 2x \) (since each single ride pass costs \$[/tex]2).
- The revenue generated from the all-day ride passes can be represented as [tex]\( 15y \)[/tex] (since each all-day ride pass costs \[tex]$15).
5. Total Revenue:
- The total revenue is the sum of the revenue from single ride passes and all-day ride passes, which should equal \$[/tex]2,960.
Combining these elements into an equation, we get:
[tex]\[ 2x + 15y = 2960 \][/tex]
Therefore, the correct equation that can be used to represent [tex]\( x \)[/tex], the number of single ride passes sold, and [tex]\( y \)[/tex], the number of all-day ride passes sold is:
[tex]\[ 2x + 15y = 2960 \][/tex]
Among the given choices, the correct option is:
[tex]\[ \boxed{2 x+15 y=2,960} \][/tex]
