fishing rods math help?

Clint

New member
Leo has a fishing rod with overall length 230 cm. the table below gives the distances for each of the line guides from the tip of his fishing rod.

guide # 1 2 3 4 5 6 7 8
distance10 23 38 55 74 96 120 149

using matrix methods or otherwise, find a quadratic function and a cubic function which model this situation. explain the process you used. on a new set of axes, draw these model functions and the original data points. comment on the differences.

and then

find a polynomial function which passes through every data point. explain your choice of function, and discuss its reasonableness. on a new set of axes, draw this model function and its original data points. comment on any differences...

i have no idea what im doing so any help would be great thanks!
 
question is from the International Baccalaureate Math Portfolio Tasks. I think these are tasks you are suppose to do yourself. Research, follow the instructions, THINK for yourself. IMHO
 
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