Question

A local animal shelter has an influx of stray dogs due to a hurricane that hit the area. The shelter is collecting dog food and needs at least 18 bags to feed the dogs for 3 months but cannot store more than 34 bags of food. They currently have 6 bags of food. What would x represent in this scenario? Create an inequality to model the range for the number of bags of food still needed by the shelter for the next 3 months.

Answer 1

18 ≤ x + 6 ≤ 34

Explanation:

Separate this problem into 2 scenarios:

The number of bags still needed plus the 6 bags they currently have cannot be more than 34.

This can be described as the inequality x + 6 ≤ 34.

The number of bags still needed plus the 6 bags needs to be greater than or equal to 18.

This can be described as the inequality x + 6 ≥ 18

Now combine these inequalities to get the answer: 18 ≤ x + 6 ≤ 34