Answer:
The temperature of the chemical solution after t hours is [tex]-14.96-2.9t\;^{\circ}C[/tex]
Step-by-step explanation:
Given that the initial temperature of the chemical solution, [tex]T_0= -14.96^{\circ}C[/tex].
The rate of decreasing temperature, [tex]R = 2.9^{\circ}C/ hour[/tex]
So, after t hours, the temperature of the chemical solution will decrease by [tex]Rt=2.9t^{\circ}C[/tex].
So, the temperature of the chemical solution after t hours,
[tex]T=T_0-Rt \\\\\Rightarrow T = -14.96-2.9t\;^{\circ}C[/tex]
Hence, the temperature of the chemical solution after t hours is [tex]-14.96-2.9t^{\circ}C[/tex].