Question

suppose your dog weighed 2.2 pounds at birth and weighed 15.7 pounds one year later. based on these two data points, find a linear function that describes how weight varies with age. use this function to predict your dogs weight at 6 and 11 years of age. comment on the validity of this model. the equation used to model this situation is w = 13.5t + 2.2, where w is the weight of the dog in pounds and t is time in years. according to this model, the weight of the dog after 6 years will be 83.2 pounds. (round to the nearest tenth as needed.) according to this model, the weight of the dog after 11 years will be \\(\square\\) pounds. (round to the nearest tenth as needed.)

Explanation:

Step1: Identify the linear function

The linear function given is \( w = 13.5t + 2.2 \), where \( w \) is the weight in pounds and \( t \) is time in years.

Step2: Substitute \( t = 11 \) into the function

Substitute \( t = 11 \) into \( w = 13.5t + 2.2 \):

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Answer:

150.7