Question 880141: Pet Care The table shows general guidelines for the weight of a Great Dane at
various ages..
Copy & paste the link to see the table : http://prntscr.com/3q2kvg
THANKS
a). None of the three models in this lesson—linear,
quadratic, or exponential—fits this data exactly.
Which of these is the best model for the data? Explain
your choice.
B). What would you predict for the weight of a Great
Dane who is 1 year old?
C) . Do you think you could use your model to find the
weight of a Great Dane at any age? Why or why not?
please help me show work please, THANK YOU.
Answer by josgarithmetic(39620)   (Show Source):
You can put this solution on YOUR website! Not a complete answer yet - but the points appear to be logarithmic.
The points shown in the hyperlink are (2,12),(4,23),(6,33),(8,40),(10,45), in which first coordinate is months age and the second coordinate is weight.
Starting with  , forming two equations from the first and last ordered pair, and solving the system, a model found is  . This model is good but does not reproduce the point (4,23) nor (6,33) too well.
Trying a quadratic model, using the points (2,12), (6,33), and (10,45) gave three simultaneous equations. The resulting coefficients while treating the actual a, b, and c of general form as the variables, fed into the perdue matrix calulator ( http://www.math.purdue.edu/~dvb/matrix.html ), gives  . You can check how well this model fits and decide what you think of it.
That quadratic model appears to reproduce the data points very well...
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