Question

Every day, the teacher has a cup of coffee before her 9:00 am class. Suppose the temperature of the coffee is 200ºF when you pour it into your cup at 8:30 a.m., fifteen minutes later the coffee cools to 110ºF in a room that is 65ºF. However, the teacher never. Otherwise, he will drink his coffee until it cools to just 97º F. How many minutes after serving will he drink his coffee?

Answer 1

To find the time it takes for the coffee to cool from 110ºF to 97ºF, we can use the rate at which the coffee cools and set up an equation.

Step-by-step explanation:

To find the time it takes for the coffee to cool from 110ºF to 97ºF, we first need to determine the rate at which the coffee cools. From the information given, we know that the coffee cools 90ºF in 15 minutes, which means it cools at a rate of 6ºF per minute. To calculate the time it takes for the coffee to cool from 110ºF to 97ºF, we can set up the equation:

1. 110ºF - 97ºF = 6ºF/min * t minutes
2. Solving for t, we get t = (110ºF - 97ºF) / 6ºF/min = 2.17 minutes

Therefore, the teacher will drink his coffee approximately 2.17 minutes after it is served.