A veterinarian collected data on the average weight of dogs by age in months. Interpret the slope and the y-intercept (0, 0) of the linear model, using the ordered pair (9, 42). Round the slope to the nearest hundredth.

Question

(1 point)
• Every month, a dog averages a gain of 4.3 pounds and weighs 0 pounds at birth.
• Every month, a dog averages a gain of 4.67 pounds
• Every 4.67 months, a dog averages a gain of 1 pound and weighs 0 pounds at birth.
• Every month, a dog averages a gain of 0.21 pounds and weighs 0 pounds at birth.

Answer 1

To interpret the slope and y-intercept of the linear model using the given ordered pair (9, 42):

1. Slope: The slope represents the average weight gain of dogs per month. Since you mentioned rounding to the nearest hundredth, the slope appears to be 4.67 pounds. This means that for each additional month of age, a dog averages a gain of 4.67 pounds.

2. Y-intercept (0, 0): The y-intercept indicates the weight of a dog at birth (when age is 0 months). The y-intercept being (0, 0) means that at birth, a dog weighs 0 pounds.

Based on this interpretation, the correct option is:

• Every month, a dog averages a gain of 4.67 pounds and weighs 0 pounds at birth.