Question

caroline adopted a puppy named dodger from an animal shelter in chicago and recorded dodgers weight during the first two months. the data in the graph show dodgers weight \\(y\\) (in lb), \\(x\\) days after adoption.

weight vs. days after adoption

(a) use the points \\((12, 14.3)\\) and \\((52, 24.7)\\) to write a linear model for these data.

\\y = \\

Explanation:

Step1: Find the slope

$$m = \frac{24.7 - 14.3}{52 - 12} = \frac{10.4}{40} = 0.26$$

Step2: Find the y-intercept

$$14.3 = 0.26(12) + b \implies b = 14.3 - 3.12 = 11.18$$

Step3: Write the linear equation

$$y = 0.26x + 11.18$$

Answer:

\(y = 0.26x + 11.18\)