dean is researching labrador retrievers for his veterinary science class. this scatter plot shows the…

dean is researching labrador retrievers for his veterinary science class. this scatter plot shows the weights of some puppies at different ages along with the line of best fit.\n\nlabrador puppy weights\nweight (pounds) vs age (weeks)\n\nthe equation for the line of best fit is $y = 1.8x + 1$. according to the equation, which of these statements is true?\n\nlabrador retrievers typically weigh about 25 pounds when they are 16 weeks old.\nlabrador retrievers typically weigh about 1 pound when they are born.

dean is researching labrador retrievers for his veterinary science class. this scatter plot shows the weights of some puppies at different ages along with the line of best fit.\n\nlabrador puppy weights\nweight (pounds) vs age (weeks)\n\nthe equation for the line of best fit is $y = 1.8x + 1$. according to the equation, which of these statements is true?\n\nlabrador retrievers typically weigh about 25 pounds when they are 16 weeks old.\nlabrador retrievers typically weigh about 1 pound when they are born.

Answer

Explanation:

Step1: Identify the given linear equation

The line of best fit is $y = 1.8x + 1$, where $y$ is weight and $x$ is age.

Step2: Evaluate the first statement

Substitute $x = 16$ into the equation to find the predicted weight. $$y = 1.8(16) + 1 = 28.8 + 1 = 29.8$$ The statement says 25 pounds, which is incorrect.

Step3: Evaluate the second statement

Being born corresponds to an age of $x = 0$. Substitute $x = 0$ into the equation. $$y = 1.8(0) + 1 = 1$$ The weight at birth is predicted to be 1 pound.

Answer:

Labrador retrievers typically weigh about 1 pound when they are born.