Question

A cat adoption facility takes in an average of 6 cats per day. The facility has to keep their cat occupancy below 200. Currently, the facility has 152 cats.

If none of their cats get adopted, how many more days, x, can the facility continue to take in cats? Select the inequality that includes the largest number of days this facility can continue to take in cats without exceeding its occupancy limit.
A.
x < 42
B.
x < 33
C.
x < 8
D.
x < 48

Answer 1

B. x < 33

Explanation:
If the facility takes in 6 cats per day and currently has 152 cats, they can continue to take in cats for a maximum of (200-152)/6 = 48/6 = 8 days before reaching their occupancy limit of 200. Therefore, the correct inequality that includes the largest number of days the facility can continue to take in cats without exceeding its occupancy limit is x < 33.