Question

The industry standard for ice cream storage is -28.9°C. Freezer temperatures fluctuate, so a safety factor of 2.8°C is allowed. Write and solve an absolute value inequality to find the minimum and maximum temperatures at which ice cream should be stored?

A) |T - (-28.9)| ≤ 2.8
B) |T + 28.9| ≤ 2.8
C) |T - 2.8| ≤ 28.9
D) |T + 2.8| ≤ 28.9

Answer 1

The minimum and maximum temperatures at which ice cream should be stored can be found by solving the absolute value inequality |T + 28.9| ≤ 2.8.

Step-by-step explanation:

The industry standard for ice cream storage is -28.9°C. To account for freezer temperature fluctuations, a safety factor of 2.8°C is allowed. To find the minimum and maximum temperatures at which ice cream should be stored, we can write and solve an absolute value inequality:

|T - (-28.9)| ≤ 2.8

Where T represents the temperature. By simplifying the inequality, we get:

|T + 28.9| ≤ 2.8

Therefore, the correct answer is (B) |T + 28.9| ≤ 2.8.