The table gives the price t, in dollars, of a round-trip flight from Denver to Chicago on a certain airline and the corresponding monthly profit P for that airline on that route.
Round-trip Airfares
Ticket Price
(dollars) | Profit (thousand
dollars) |
| 200 |
3080 |
| 250 |
3520 |
| 300 |
3760 |
| 350 |
3820 |
| 400 |
3700 |
| 450 |
3380 |
(a) Find the function for the quadratic model that gives the profit in thousand dollars, where t is the ticket price in dollars, with data from 200 ? t ? 450. (Round all numerical values to three decimal places.)