Question

A library has at least 900 square feet to create a new study area. Each study cubicle uses 6 square feet, and each computer station uses 8 square feet.
Which inequality correctly represents this situation, where s is the number of study cubicles and c is the number of computer stations?

6s+8c≥900

6s+8c>900

6s+8c≤900

6s+8c<900

Answer 1

Answer:

6s + 8c ≤ 900

Step-by-step explanation:

let the number of computer stations be c and the number of study cubicles be s

If each computer station takes up 8 square feet, then the total area for c computer stations would be 8 x c = 8c square feet

Similarly, if each study cubicle takes up 6 sq-ft, then the total are for s study cubicles would be 6 x s = 6s square feet

we are given that the library has a maximum of 900 sq-ft. This means that the total area for the study cubicles and the computers cannot exceed 900 sq-ft

phrased another way, the total area of the study cubicles and the computers must be less than or equal to 900 sq-ft

or

6s + 8c ≤ 900