Question

question 7 of 10
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

Explanation:

Step1: Set up the inequality

The current number of animals is 165, and 5 animals are taken in per day for $x$ days. The total number of animals should be below 300. So the inequality is $165 + 5x<300$.

Step2: Solve the inequality for $x$

Subtract 165 from both sides: $5x<300 - 165$, which simplifies to $5x<135$.

Step3: Isolate $x$

Divide both sides by 5: $x<\frac{135}{5}$, so $x < 27$.

Answer:

B. $x<27$