e mercury thermometer records a temperature of 8 degrees fahrenhieht at 10 a.m. if the temperature drops by 3 degrees fahrenhiet evey hour what will be the temperature by 2p.m. of the same day
Answers
Answer:
The temperature by 2 P.M of the same day : -4°F
Further explanation
Temperature is used as a guide to the level of heat energy from objects
Temperature measures thermal energy
Temperature units include Celsius, Fahrenheit, Reaumur or Kelvin
We can calculate it in two ways
1. manual way
2. with the arithmetic series formula
1. manual
initial temperature = 8
Temperature drops by 3/hr
From 10 a.m to 2 pm , there is a difference of 4 hours
Then the final temperature
\begin{gathered}\tt =8^o-(4~h\times 3^o/h)\\\\=8^o-12\\\\=-4^oF\end{gathered}=8o−(4 h×3o/h)=8o−12=−4oF
2. the arithmetic series
The arrangement of the numbers is like this:
a, a+d, a+2d, etc ,
so the temperature series :
8°F, 5°F, 2°F,...
a = initial term ⇒ initial temperature = 8° F
d = different (common difference) = -3°/hr
The formula for the nth term ⇒2 o'clock is the 5th hour(from 10 AM), so n = 5
\begin{gathered}\tt xn=8+(5-1).-3\\\\xn=8-12=\boxed{\bold{-4^oF}}\end{gathered}xn=8+(5−1).−3xn=8−12=−4oF