The table shows the value , in thousands of dollars, of a rare coin years after its purchase. The relationship is exponential. If the value of the coin continues to increase at the same rate, what was the value of the coin, in thousands of dollars, at the time of purchase ()? Round your answer to the nearest hundredth.
| t | V(t) |
|---|---|
| 2 | 2.178 |
| 5 | 2.898918 |