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Mr. Bellson is baking brownies for his students. He removes the brownies and allows them to cool before cutting them. While he waits, he considers how quickly the temperature of the brownies is decreasing, and decides to make this an exercise for his students! He monitors the temperature of the brownies using a baking thermometer.
| Time (minutes) | Temperature (°F) |
|---|---|
| 0 | 236 |
| 2 | 229 |
| 4 | 222 |
| 6 | 216 |
| 8 | 209 |
| 10 | 203 |
| 12 | 197 |
| 14 | 191 |
| 16 | 185 |
| 18 | 179 |
| 20 | 174 |
| 22 | 169 |
| 24 | 164 |
| 26 | 159 |
| 28 | 155 |
| 30 | 150 |
1. Determine the regression equation that best fits this data. Use mathematics to justify your answer. (If you need to enter an exponent, use the caret, ^ (shift 6), notation. For example, for x squared, type x^2.)
2. At what time will the brownies reach room temperature (70°F)?
