Question

An animal shelter takes in an average of 5 animals per day. The shelter must keep its total occupancy below 300. Currently, the shelter has 165 animals.

If none of the animals get adopted, which inequality represents how many more days, x, the shelter can continue to take in animals without exceeding its occupancy limit?

A.
x < 25
B.
x < 27
C.
x < 33
D.
x < 35

Answer 1

B. x < 27

Explanation:

Answer 2

B. x<27

Explanation:

The shelter has 165 animals.

The shelter must keep its total occupancy below 300.

The shelter takes in an average of 5 animals per day. If x is the number of days, then in x days the shelter takes 5x animals. In total there will be

165+5x animals. This number must be less than 300, so

`165+5x< 300\\ \\5x< 300-165\\ \\5x< 135\\ \\x< 27`