. An experiment is conducted to study the rate at which temperature changes. A temperature probe is first heated in a cup of hot water and then pulled out and placed into a cup of cold water. The temperature of the probe, in ̊C, is measured every second for 36 seconds and recorded in the following table
Find a function that fits this data.
T=8.6+35.439(0.848)^t
Time | 1 | 2 | 3 | 4 | 5 | 6 | 7 | 8 | 31 | 32 | 33 | 34 | 35 | 36 |
42.3 | 36.03 | 30.85 | 26.77 | 23.58 | 20.93 | 18.79 | 17.08 | 42.3 | 8.78 | 8.78 | 8.78 | 8.78 | 8.66 | 8.66 |
Find a function that fits this data.
T=8.6+35.439(0.848)^t