QuestionA bottle of seltzer water initially has a temperature of $79^{\circ} \mathrm{F}$. It is left to cool in a refrigerator that has a temperature of $40^{\circ} \mathrm{F}$. After 10 minutes the temperature of the seltzer water is $66^{\circ} \mathrm{F}$. Complete parts a through c . a. Use Newton's Law of Cooling, $T=C+\left(T_{0}-C\right) e^{k t}$, to find a model for the temperature of the seltzer water, $T$, after $t$ minutes. $$T=40+(39) e^{-0.0405 t}$$ (Simplify your answer. Use integers or decimals for any numbers in the equation. Round to four decimal places as needed) b. What is the temperature of the seltzer water after 15 minutes? $61^{\circ} \mathrm{F}$ (Round to nearest degree as needed.) c. When will the temperature of the seltzer water be $49^{\circ} \mathrm{F}$ ? $\square$ minute(s) (Round to nearest minute as needed.)