Question

A weather forecaster predicts that the temperature in antarctica will decrease 8°f each hour for the next 6 hours. write and solve an inequality to determine how many hours tt it will take for the temperature to drop at least 36°f.

Answer 1

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

$8t\geq 36$

Now, we solve the inequality.

Divide both sides by 8, we get

$t\geq \frac{36}{8}\\\\t\geq 4.5\text{ hours}$

Hence, it will take atleast 4.5 hours to drop the temperature to 36°F.

Answer 2

Answer:

$-8t\leq -36$

Step-by-step explanation: The answer to the equation is t ≥ 9/2