The table shows the number of a particular brand of luxury cars sold in various years. Use a calculator to write a quartic model for the number of cars sold in a given year since 2000 and use the model to estimate the number of cars sold in 2005. Answers:
P(x) ≈ −75.46x3 + 420.93x2 + 369.82x − 38.33
The estimated number of cars sold in 2005 is 2,901.

P(x) ≈ −38.23x3 + 171.56x2 + 869.82x − 329.66
The estimated number of cars sold in 2005 is 3,529.

P(x) ≈ 21.83x4 − 381.13x3 + 1877.53x2 − 2337.51x + 1533.67
The estimated number of cars sold in 2005 is 2,787.

P(x) ≈ 6.04x4 − 135.32x3 + 698.78x2 − 228.48x + 363.95
The estimated number of cars sold in 2005 is 3,551.