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 \\(\square\\) pounds. (round to the nearest tenth as needed.)

Explanation:

Step1: Identify the formula and value of t

The linear function is \( w = 13.5t + 2.2 \), and we need to find the weight at \( t = 6 \) years.

Step2: Substitute t = 6 into the formula

Substitute \( t = 6 \) into \( w = 13.5t + 2.2 \):
\( w = 13.5\times6 + 2.2 \)
First, calculate \( 13.5\times6 = 81 \). Then, add 2.2: \( 81 + 2.2 = 83.2 \).

Answer:

83.2