please help

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. (a) Find a quadratic model for the data. (Be sure to use t as the independent variable. Round all numerical values to three decimal places.) P(t)= where is the ticket price, data from 200t450. (b) Use the unrounded model to calculate the average rate of change of profit when the ticket price rises from $250 to $350. (Round your answer to three decimal places.) thousand dollars per dollar (c) Use the unrounded model to calculate the average rate of change of profit when the ticket price rises from $350 to $450. (Round your answer to three decimal places.) thousand dollars per dollar