Respuesta :

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]