Question

the webster county animal shelter has at most 4,990 square feet of space where it can house animals. each large animal must be given 34 square feet of space, and each small animal must be given 13 square feet. select the inequality in standard form that describes this situation. use the given numbers and the following variables. x = the number of large animals y = the number of small animals 34x + 13y < 4,990 13x + 34y < 4,990 34x + 13y ≤ 4,990 13x + 34y ≤ 4,990

Explanation:

Step1: Calculate space for large animals

The space for $x$ large - animals, with each large animal needing 34 square feet, is $34x$ square feet.

Step2: Calculate space for small animals

The space for $y$ small - animals, with each small animal needing 13 square feet, is $13y$ square feet.

Step3: Determine the total space and inequality

The total space used for both large and small animals is $34x + 13y$ square feet. Since the shelter has at most 4990 square feet of space, the inequality is $34x+13y\leq4990$.

Answer:

$34x + 13y\leq4990$