Let us suppose it will take t hours for the temperature to drop at least 36°F.
We have been given that temperature in Antarctica will decrease 8°F each hour for the next 6 hours.
And we have to find the time to drop the temperature to at least 36°F. At least means greater than equal to.
Therefore, we have the below inequality
[tex]8t\geq 36[/tex]
Now, we solve the inequality.
Divide both sides by 8, we get
[tex]t\geq \frac{36}{8}\\\\t\geq 4.5\text{ hours}[/tex]
Hence, it will take atleast 4.5 hours to drop the temperature to 36°F.
Answer:
[tex]-8t\leq -36\\[/tex]
Step-by-step explanation: The answer to the equation is t ≥ 9/2
