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Annie is planning a business meeting for her company. She has a budget of \[tex]$1,325 for renting a meeting room at a local hotel and providing lunch. She expects 26 people to attend the meeting. The cost of renting the meeting room is \$[/tex]270. Which inequality shows the amount, [tex]\( x \)[/tex], Annie can spend on lunch for each person?

A. [tex]\( 26x + 270 \geq 1,325 \)[/tex]

B. [tex]\( 26x + 270 \leq 1,325 \)[/tex]

C. [tex]\( 270x + 26 \geq 1,325 \)[/tex]

D. [tex]\( 270x + 26 \leq 1,325 \)[/tex]

Sagot :

GinnyAnsweridn
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]
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