Question

Which of these situations can be modeled by the inequality a<250
?
A
An auditorium’s seating capacity, xxx, is at most 250250250 people.
B
The distance, xxx, that Fred needs to travel each day is at least 250250250 miles.
C
The number of people, xxx, who attended the conference was fewer than 250250250.
D
The temperature, xxx, required to melt a certain container inside an oven is more than 250250250

Answer 1

The inequality \( a < 250 \) indicates that the value of \( a \) must be less than 250. Let's analyze each situation:

A. An auditorium’s seating capacity, \( x \), is at most 250 people.
- This can be written as \( x \leq 250 \), which does not fit \( a < 250 \). This situation does not work.

B. The distance, \( x \), that Fred needs to travel each day is at least 250 miles.
- This can be expressed as \( x \geq 250 \), which does not fit \( a < 250 \). This situation does not work.

C. The number of people, \( x \), who attended the conference was fewer than 250.
- This can be expressed as \( x < 250 \), which fits \( a < 250 \). This situation works.

D. The temperature, \( x \), required to melt a certain container inside an oven is more than 250.
- This can be expressed as \( x > 250 \), which does not fit \( a < 250 \). This situation does not work.

Based on the analysis, the only situation that can be modeled by the inequality \( a < 250 \) is:

**C**: The number of people, \( x \), who attended the conference was fewer than 250.