Answer :
To solve the problem, we need to determine which expression correctly represents the total cost of a rental service where customers pay a fixed amount plus a variable cost depending on the number of games rented.
The problem states they charge [tex]$2.00 for rentals and $[/tex]7.50 per game. This means there is a base cost (fixed amount) of [tex]$2.00, and for each game rented, there is an additional cost of $[/tex]7.50.
1. Fixed Cost: The [tex]$2.00 charge is a one-time fee for rentals, regardless of how many games are rented.
2. Variable Cost: The $[/tex]7.50 is a per-game fee, which means you multiply [tex]$7.50 by the number of games rented (let's use \(x\) to represent the number of games).
Putting it together, the total cost can be represented by the expression \(2.00 + 7.50x\).
This follows a common format in math where a total cost is calculated as a fixed fee plus a variable rate times the quantity:
- Fixed Fee: $[/tex]2.00
- Per Game Rate: $7.50
- Number of Games: [tex]\(x\)[/tex]
Therefore, the correct expression is:
[tex]\[ 2.00 + 7.50x \][/tex]
This expression corresponds to the first option given: [tex]\(2.00 + 7.50x\)[/tex].
The problem states they charge [tex]$2.00 for rentals and $[/tex]7.50 per game. This means there is a base cost (fixed amount) of [tex]$2.00, and for each game rented, there is an additional cost of $[/tex]7.50.
1. Fixed Cost: The [tex]$2.00 charge is a one-time fee for rentals, regardless of how many games are rented.
2. Variable Cost: The $[/tex]7.50 is a per-game fee, which means you multiply [tex]$7.50 by the number of games rented (let's use \(x\) to represent the number of games).
Putting it together, the total cost can be represented by the expression \(2.00 + 7.50x\).
This follows a common format in math where a total cost is calculated as a fixed fee plus a variable rate times the quantity:
- Fixed Fee: $[/tex]2.00
- Per Game Rate: $7.50
- Number of Games: [tex]\(x\)[/tex]
Therefore, the correct expression is:
[tex]\[ 2.00 + 7.50x \][/tex]
This expression corresponds to the first option given: [tex]\(2.00 + 7.50x\)[/tex].
