Let's carefully analyze the problem step-by-step:
1. Identify the total available budget: The total budget Annie has is [tex]$1325.
2. Determine fixed costs: The cost of renting the meeting room is $[/tex]270.
3. Account for the number of attendees: There are 26 attendees.
4. Formulate the total costs:
- The total cost consists of the cost of renting the meeting room and the cost of providing lunch for each attendee.
- Let [tex]\( x \)[/tex] represent the amount Annie can spend on lunch per person.
- Therefore, the total cost for lunch is [tex]\( 26x \)[/tex] (since there are 26 people).
5. Set up the inequality to ensure the total cost does not exceed the budget:
- The sum of the room cost and the lunch cost should be within Annie's budget.
- This gives us the inequality: [tex]\( 26x + 270 \leq 1325 \)[/tex].
Thus, the inequality that shows how to find the amount [tex]\( x \)[/tex] Annie can spend on lunch for each person is:
[tex]\[ 26x + 270 \leq 1325 \][/tex]
So, the correct answer is:
B. [tex]\( 26x + 270 \leq 1325 \)[/tex]
