Annie is planning a business meeting for her company. She has a budget of $1325 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 $270. Which inequality shows how to find the amount, x, Annie can spend lunch for each person? A. 26x + 270 ≥ 1,325 B. 26x + 270 ≤ 1,325 C. 270x + 26 ≥ 1,325 D.270x + 26 ≤ 1,325

Respuesta :

Answer: A. 26 x + 270 ≥ 1,325

Step-by-step explanation:

Here x represents the cost of lunch per person,

Thus, the cost of the lunch of 26 persons = 26 × x = 26 x

Also, the cost of renting the meeting room = $ 270

Total expenses = 270 + 26 x

According to the question,

Given budget = $ 1325

Therefore, the expenses can not be exceed to $1325

That is,  270 + 26 x ≥ 1325

Which is the required inequality.

Option A is correct.


The inequality that shows how much amount, x, Annie can spend on lunch for each person is 26x+270<1325.

What are inequalities?

Inequalities help us to compare two unequal expressions. Also, it helps us to compare the non-equal expressions so that an equation can be formed.

It is mostly denoted by the symbol <, >, ≤, and ≥.

Let the cost of a person having dinner be $x.

As the cost of renting the meeting room is $270, therefore, even if a single person doesn't show up for the meeting, Annie still needs to pay $270.

Now, the cost of 26 people eating dinner is written as 26x, where x is the cost of a single person having dinner.

Further, since the total cost should be less than the budget of Annie, therefore, the sum of rent and dinner should be less than $1325.

Thus, the inequality that shows how much amount, x, Annie can spend on lunch for each person is 26x+270<1325.

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