The dog's weight after measurement can be represented as a function of time w(t)=t^2+ 3t + 2 where t is the time in months.

The rate of change of the dog's is `(dw)/(dt) = 2*t + 3`

The average rate of change from the age of 2 months to when it is 6 months old is `(7 + 9 + 11 + 13 + 15)/5 = 11`

**The average rate of change of the dog's weight in the interval starting with when it is 2 months old and ending with when it is 6 months old is 11 kg/month**

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