Answer:
Temperature at 4 am is 66 degrees.
Step-by-step explanation:
First we have to count how many half an hour's are there from 6 pm to 4 am.
Number of hours from 6 pm to 4 am. = [tex]10[/tex] hours
Number of half an hours from 6 pm to 4 am. = [tex]10*2[/tex]
=[tex]20[/tex]
It is given that temperature drops [tex]1\frac{1}{4}[/tex] degrees every half an hour.
Therefore,
Temperature drop in 20 half an hours = [tex]1\frac{1}{4}*20[/tex] degrees
=[tex]\frac{5}{4} *20[/tex] degrees
=[tex]25[/tex] degrees
Temperature drops 20 degrees from initial 86 degrees.
Therefore, temperature at 4 am = 86 degrees - 20 degrees
= 66 degrees
