at 3 pm ,the outside temperature was 4 degrees f .the temperature then fell steadily by 2 degrees every hour for the next four hours. what was the temperature,in degrees at 7 pm?​

Respuesta :

[tex]-4[/tex]° was the temperature,in degrees at 7 pm .

Step-by-step explanation:

Here we have , at 3 pm ,the outside temperature was 4 degrees f .the temperature then fell steadily by 2 degrees every hour for the next four hours. We need to find  what was the temperature,in degrees at 7 pm .Let's find out:

At 3 pm , Temperature was 4° . Then , temperature then fell steadily by 2 degrees every hour for the next four hours , Total decrease in temperature:

⇒ [tex]2(4)[/tex]

⇒ [tex]8[/tex]

So , In next 4 hours after 3 pm there is decrease in 8° temperature , But initially temperature was 4° , So , Temperature after 4 hours i.e. at 7 pm :

[tex]4-8[/tex]

[tex]-4[/tex]°

Therefore , [tex]-4[/tex]° was the temperature,in degrees at 7 pm .

The  temperature at 7 pm is -4 degrees, if the temperature at 3 pm is 4 degrees then it fell steadily by 2 degrees every hours for the next four hours.

Step-by-step explanation

         The given is,

                At 3 pm the outside temperature was 4 degrees

                Then it fell steadily by 2 degrees for every hour, for the next four hours.

Step:1

        Let, T - Temperature

        The temperature at 3 pm,

                   T = 4 degrees                         ( ∵ from given)

Step:2

        Temperature at 4 pm,

                   T = (4 - 2) degrees        (∵ steadily fell 2 degrees for each hour)

                      =  2 degrees

        Temperature at 5 pm,

                   T = (2-2) degrees

                      = 0 degrees

         Temperature at 6 pm,

                  T = (0-2) degrees

                     = -2 degrees

          Temperature at 7 pm,

                   T = (-2 - 2) degrees            (∵ both signs are same (negative), so we add the two numbers)

                     = -4 degrees      

Result:

            The  temperature at 7 pm is -4 degrees, if temperature at 3 pm was 4 degrees, then it fell steadily by degrees every hours for next four hours.