Question

The temperature at 6 pm is 86 degrees fahrenheit. And drops 1 1/4 degees every half hour. What is the temperature at 4am.

Answer 1

Temperature at 4 am is 66 degrees.

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. =
`10` hours

Number of half an hours from 6 pm to 4 am. =
`10*2`

=
`20`

It is given that temperature drops
`1(1)/(4)` degrees every half an hour.

Therefore,

Temperature drop in 20 half an hours =
`1(1)/(4)*20` degrees

=
`(5)/(4) *20` degrees

=
`25` degrees

Temperature drops 20 degrees from initial 86 degrees.

Therefore, temperature at 4 am = 86 degrees - 20 degrees

= 66 degrees