Question

An office building contains 6,500 square feet of space. Each employee has a cubicle that takes up 100 square feet. The entryway takes up 400 square feet. Which inequality can be used to find the possible number of cubicles?

a
F 100x + 400 ≤ 6,500
b
G 100x + 400 ≥ 6,500
c
H 100x – 400 ≤ 6,500
d
J 400x – 400 ≤ 6,500

Answer 1

100a + 400 ≤ 6500

Explanation:

The space occupied by the cubicle in the office building can be calculated when you multiply the number of cubicle/employee by 100(size of each cubicle)

Answer 2

100a + 400 ≤ 6500

Step-by-step explanation:

The office building contains 6500 ft² of space. Each employee has a cubicle that takes up to 100 ft². The entryway also takes up to 400 ft². The inequality that can be use to find the possible number of cubicles is expressed below.

Let

number of employee/cubicle = a

Total space of the office building = 6500 ft²

The entryway has already occupied 400 ft² of the office building space. Each employee has one cubicle which takes up to 100 ft² of the office building space. The space occupied by the cubicle in the office building can be calculated when you multiply the number of cubicle/employee by 100(size of each cubicle) This will be 100 × a = 100a. The total number of space occupied by the cubicles plus the already space taken by the entryway will be less than or equal to the total space of the office building. Therefore,

100a + 400 ≤ 6500