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 158 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.

Answer 1

The inequality that includes the largest number of days this facility can continue to take in cats without exceeding its occupancy limit is:

158 + 6x ≤ 200

Solving for x:

6x ≤ 42
x ≤ 7

So the facility can continue to take in cats for a maximum of 7 days without exceeding its occupancy limit of 200 cats.