A Finnish fish magazine mentions the lengths of pike individuals of different ages. If the growing conditions are good, we have a one-year-old pike that is [[$ 15 $]] cm, a 3-year-old that is [[$ 37 $]] cm, a 4-year-old that is [[$ 47 $]] cm, a 5-year-old that is [[$ 52 $]] cm, a 6-year-old that is [[$ 60 $]] cm, a 7-year-old that is [[$ 70 $]] cm, and an 8-year-old that is [[$ 76 $]] cm. Draw a curve showing the length of the pikes at different ages. What kind of growth model would seem to suit the length of the pike the best? According to this model, how long would a pike be at 2 years of age and 12 years of age? (Source: Finnish matriculation exam, autumn 1993)

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Answer: The equation of the line related to the observation points is [[$ y = $]] .

At the age of 2, the pike is cm and at the age of 12 it is cm.

Graph of the solution