The temperature of soup after 25 minutes is [tex]135.2^{\circ}\ F[/tex]
Solution:
The temperature of chicken soup is 192.7°F
As it cools, the temperature of the soup decreases 2.3°F per minute
Let the initial temperature be [tex]T_0[/tex]
Let "t" be the time for rate of decrease
Set up an equation
Temperature = Initial temperature - decrease in temperature
Decrease in temperature = rate of decrease x time
Therefore,
[tex]T = T_0-2.3t[/tex]
To find the temperature of soup after 25 minutes, substitute t = 25
[tex]T = 192.7 - 2.3 (25)\\\\T = 192.7 -57.5\\\\T = 135.2[/tex]
Thus the temperature of soup after 25 minutes is [tex]135.2^{\circ}\ F[/tex]
