Hi I’m in need of help I have received many solutions for question please help me

Question

1.) Use finite differences to identify the degree of the polynomial that best describes the data.

 

A.) quartic

B.) quadratic

 

2.) 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.

 

 

A.) P(x) ≈ −38.23x3 + 56.86x2 + 1098.23x + 557.48

The estimated number of cars sold in 2005 is 2,691.

 

B.) P(x) ≈ 6.04x4 − 135.32x3 + 698.78x2 − 228.48x + 247.95

The estimated number of cars sold in 2005 is 3,432.

 

C.) P(x) ≈ 6.04x4 − 111.18x3 + 329.04x2 + 787.26x + 588.97

The estimated number of cars sold in 2005 is 2,626.

 

D.) P(x) ≈ −38.23x3 + 56.86x2 + 1098.23x + 557.48

The estimated number of cars sold in 2005 is 3,413.

Answer 1

1: B it's a parabola Just sketch it, although some quartics can resemble parabolas, just flatter at the turn. this looks more quadratic though.

. 2. B or D, probably D based on the constant term. .

Answer 2

9 -5

10 -8 -3

11 -7 1 4

12 -4 3 2 -2

13 1 5 2 0 2

14 10 9 4 2 2

quartic