We will investigate an example regarding temperature data given and initial temperature and the rate at which the temperature increases or decreases.
The initial temperature given to us is as follows:
[tex]T_i\text{ = -25 degrees}[/tex]The rate at which the temperature decreases/increases is:
[tex]r\text{ = }T_f-T_i[/tex]We are given that the temeperature decreases by a certain amount ( r ) as follows:
[tex]r\text{ = -15 degrees}[/tex]We will use the definition of rate ( r ) expressed as an equation and determine the final temperature for the given:
[tex]T_i=-25,r=-15,T_f\text{ = ?}[/tex]Plug in the respective values in the expression defined and evaluate the final temperature:
[tex]\begin{gathered} -15\text{ = }T_f\text{ - (-}25\text{ )} \\ -15\text{ = }T_f+\text{ 25} \\ T_f\text{ = -15 - 25} \\ T_f\text{ = -30} \end{gathered}[/tex]