Question

16. You live next door to a dog that barks at night. You lose 30 minutes of sleep every time the dog barks. Last night you got less than 5 hours of sleep. You usually sleep 8 hours each night. Which inequality best describes the relationship between the number of times, x that you woke up?​

Answer 1

The inequality that describes the relationship between the number of times the student woke up and the amount of sleep received is x > 6.

Step-by-step explanation:

The question is asking for an inequality that describes the relationship between the number of times you woke up, denoted as x, and the amount of sleep you received. From the information given, we know that the dog barks at night and each time it barks, you lose 30 minutes of sleep. Last night, you had less than 5 hours of sleep, which is 8 hours minus the time lost due to the dog barking. So, the inequality can be written as:

8 - 0.5x < 5

To solve this inequality for x, we can subtract 8 from both sides and then divide both sides by -0.5. This will give us:

x > 6

Therefore, the inequality that describes the relationship between the number of times you woke up and the amount of sleep you received is x > 6.