The temperature, in °C, of a solution t minutes after being cooled is
60(5/6)^t
After how many
minutes will the temperature of the solution be less than 30°C for the first time?​

Respuesta :

Answer:

t < 3.8 minutes

Step-by-step explanation:

We are told that the temperature "t" minutes after being cooled is

60(5/6)^t

We want to find After how many

minutes will the temperature of the solution be less than 30°C

Thus;

60(5/6)^t < 30

Divide both sides by 60 to get;

(5/6)^t < 0.5

t In(5/6) < In 0.5

-0.1823t < -0.6931

t < 0.6931/0.1823

t < 3.8 minutes