Question

Montana is known for having very chilly winters. One night, the temperature was falling by 2 degrees Fahrenheit each hour. At sunset, the temperature was -5 degrees Fahrenheit. How many hours will it take for the temperature to reach -19° F?​

Answer 1

7 hours

Explanation:

We are given that

At sunset, the temperature=-5 degrees Fahrenheit

Each hour, temperature falling=2degrees Fahrenheit

We have to find time taken to reach the temperature -19° F.

Let x be the time time taken to reach the temperature -19° F

According to question

`-5+x(-2)=-19`

Where we taking 2 negative because temperature decreases.

`-5-2x=-19`

`-5+19=2x`

`14=2x`

`x=(14)/(2)`

`x=7`

Hence, it will take 7 hours for the temperature to reach -19° F.