Okay, let's break down this problem step-by-step to determine the correct inequality.
1. Identify the total budget and expenses:
- Annie's total budget is \[tex]$1,325.
- The cost of renting the meeting room is \$[/tex]270.
- Annie expects 26 people to attend the meeting.
- We want to find out the maximum amount Annie can spend on lunch per person, denoted as [tex]\( x \)[/tex].
2. Set up the total cost equation:
The total cost will include:
- The cost of the meeting room.
- The cost of lunch for 26 people.
3. Expression for the total cost:
- The total cost for lunch for all 26 people will be [tex]\( 26x \)[/tex].
- Adding the cost of the room rental, the total cost equation will be:
[tex]\[
26x + 270
\][/tex]
4. Inequality for the budget constraint:
Annie's budget should cover the total cost, so the inequality that represents this situation is:
[tex]\[
26x + 270 \leq 1325
\][/tex]
5. Verifying the correct inequality:
Based on the correct mathematical setup for the problem, the appropriate inequality to determine the amount [tex]\( x \)[/tex] Annie can spend on lunch per person is:
[tex]\[
\boxed{26x + 270 \leq 1325}
\][/tex]
So, the correct option is:
B. [tex]\( 26x + 270 \leq 1325 \)[/tex]
