The temperature at 12 am was 46 degrees. The temperature dropped steadily for the next 8 hours to reach the daytime low of 20 degrees. What was the temperature at 6am?​ (Pls include explanation)

26.5 degrees

Step-by-step explanation:

This question can be solved using Arithmetic Progression.

Considers times 12am, 1am, 2am, 3am, 4am, 5am, 6am, 7am, 8am. (We take upto 8 am because the question says " next 8hours")

You will need to know the formula an = a + (n-1)d.

Take a=46 and a9=20 (n=9 here because there are 9 hours mentioned above)

Apply the values in the formula and you will get a + 8d = 20

Solve for d= -13/4

Now check which term does 6am comes. It is the 7th term.

Now solve for a7.

a7 = a + 6d

Apply the values you found earlier and you will get the final answer as 26.5

Hope it helps!