Question

The Jasper County Animal Shelter has at most 3,690 square feet of space where it can house animals. Each large animal must be given 27 square feet of space, and each small animal must be given 15 square feet. Write 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

Answer 1

The standard form of the inequality representing the maximum number of large and small animals that can be housed in the Jasper County Animal Shelter, with 27 square feet required for each large animal (x) and 15 square feet per small animal (y), is 27x + 15y ≤ 3,690.

Step-by-step explanation:

To write the inequality that represents the given situation at the Jasper County Animal Shelter, we take into account the maximum square footage available and the space required for each animal.

For every large animal (x), 27 square feet are needed, and for every small animal (y), 15 square feet are required.

The total space used by the animals cannot exceed the maximum space available in the shelter, which is 3,690 square feet. With this in mind, the inequality looks like this: 27x + 15y ≤ 3,690

To put it into standard form, we simply rearrange the inequality to ensure that the variables and their coefficients are on one side and the constant is on the other: 27x + 15y - 3,690 ≤ 0

So, the standard form of the inequality that describes how many large and small animals (represented respectively by x and y) can be housed in the shelter is: 27x + 15y ≤ 3,690