A can of soda is placed inside a cooler. As the soda cools, its temperature $T(x)$ in degrees Celsius is given by the following function, where $x$ is the number of minutes since the can was placed in the cooler.
Españo
\[
T(x)=-8+30 e^{-0.045 x}
\]
Find the initial temperature of the soda and its temperature after 15 minutes. Round your answers to the nearest degree as necessary.
Initial temperature:
Џi ${ }^{\circ} \mathrm{C}$
Temperature after 15 minutes:
${ }^{\circ} \mathrm{C}$
$\times \quad 5$

Step 1 ：The initial temperature of the soda can be found by substituting \(x=0\) into the function \(T(x)\). This is because the initial temperature is the temperature of the soda at the moment it was placed in the cooler, which corresponds to \(x=0\).

Step 2 ：Substituting \(x=0\) into the function \(T(x)\), we get \(T(0)=-8+30 e^{-0.045 \times 0} = 22\). So, the initial temperature of the soda is \(\boxed{22}\) degrees Celsius.

Step 3 ：The temperature of the soda after 15 minutes can be found by substituting \(x=15\) into the function \(T(x)\).

Step 4 ：Substituting \(x=15\) into the function \(T(x)\), we get \(T(15)=-8+30 e^{-0.045 \times 15} = 7\). So, the temperature of the soda after 15 minutes is \(\boxed{7}\) degrees Celsius.

Step 5 ：Final Answer: The initial temperature of the soda is \(\boxed{22}\) degrees Celsius and its temperature after 15 minutes is \(\boxed{7}\) degrees Celsius.