# A cup of coffee cools according to the equation T(t)=65(1/2)^(t/22), where T is the temperature in degree celcius after t minutes. How do you determine the temperature of the coffee after 30 minutes?

Jun 22, 2017

The temperature is ${25.26}^{\circ} C$

#### Explanation:

Just say that $t = 30$.

$T \left(30\right) = 65 {\left(\frac{1}{2}\right)}^{\frac{30}{22}}$

$T \left(30\right) \approx {25.26}^{\circ} C$

Hopefully this helps!