The temperature of a liquid in an experiment starts a 0 degrees celsius. the experiment calls for the temperature of liquid to change at a rate of -0.8 degrees celsius per minute. how long will it take for the liquid to reach -10.8 degrees celsius? estimate to show that your answer is reasonable.

It will take 13.5 minutes for the liquid to reach - 10.8°C.

Step-by-step explanation:

The initial temperature of the experiment is 0°C and as the experiment goes on, the temperature of the liquid is changing at a rate of - 0.8°C per minute.

So, the equation that models the situation is  

T = 0 - 0.8t

⇒ T = - 0.8t (1)

Where T is the temperature of the liquid in °C and t is the time of spending after the experiment starts in minutes.

Now, given T = - 10.8°C and we have to find the corresponding time (t) in minutes.

So, from equation (1) we get,  

- 10.8 = - 0.8t

⇒ t = 13.5 minutes

Therefore, it will take 13.5 minutes for the liquid to reach - 10.8°C. (Answer)

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