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

`-8t\leq -36\\`

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

Answer 2

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 (36)/(8)\\\\t\geq 4.5\text{ hours}`

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