The coffee starts out at 176 degrees, and cools off like this…
Min Degrees
1 169
2 162
3 156
5 146
10 125
15 111
20 101
30 90
60 81
If he measured the coffee at 2 hours and 3 hours, what temperature would it be?
25
To find the temperature of the coffee at 2 hours and 3 hours, we can look at the given time-temperature data and determine the rate at which the coffee is cooling.
Let's calculate the cooling rate first.
Rate of cooling = (Temperature at Time 2 - Temperature at Time 1) / (Time 2 - Time 1)
Rate of cooling = (162 - 169) / (2 - 1) = -7 / 1 = -7 degrees per hour
Now, we can apply this cooling rate to find the temperature at 2 hours.
Temperature at 2 hours = Temperature at the starting point (176 degrees) + (Rate of cooling * Time)
Temperature at 2 hours = 176 + (-7 * 2) = 176 - 14 = 162 degrees
Therefore, the temperature of the coffee at 2 hours would be 162 degrees.
Similarly, to find the temperature at 3 hours:
Temperature at 3 hours = Temperature at the starting point (176 degrees) + (Rate of cooling * Time)
Temperature at 3 hours = 176 + (-7 * 3) = 176 - 21 = 155 degrees
Therefore, the temperature of the coffee at 3 hours would be 155 degrees.