Question

For an experiment, the temperature of a liquid must stay above 60°F . The starting temperature of the liquid is 90°F . It is placed in a cooler, which lowers its temperature 3°F each minute. Let m represent the number of minutes the liquid is in the cooler. Which statement determines how many minutes the liquid can stay in the cooler? The liquid must be in the cooler fewer than 10 minutes. The liquid must be in the cooler fewer than 15 minutes. The liquid must be in the cooler fewer than 30 minutes. The liquid must be in the cooler fewer than 60 minutes.

Answer 1

The answer is The liquid must be in the cooler fewer than 10 minutes. This is because 3 × 10 is 30 and so it would lose 30° after 10 minutes, which makes it 60°, so if the liquid is in the cooler longer than 10 minutes then the temperature becomes less than 60°.

Answer 2

The liquid must be in the cooler fewer than 10 minutes.

We are told in the question that the temperature of the liquid must be above 60°F. Initially, the temperature of the liquid is 90°F. It is then put in a cooler which lowers the temperature of the liquid by 3°F each minute.

Now, this implies that in ten minutes, the temperature of the liquid will be about 30°F lower than the initial temperature. Therefore, the liquid must be in the cooler fewer than 10 minutes.

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