Question

question 1
a dog breeder recorded the weight of a puppy during the first eight months after it was born. the breeder created the equation ( w = 0.28m + 9.6 ), where ( w ) is the weight of the puppy in pounds and ( m ) is the number of months since the puppy was born. what is the meaning of the slope from the breeder’s equation?

• for every month after the puppy is born, the weight increases by 0.28 pounds.
• when the puppy is born, the total weight is 0.28 pounds.
• when the puppy is born, the total weight is 9.6 pounds.
• for every month after the puppy is born, the weight increases by 9.6 pounds.

Explanation:

The given equation $w = 0.28m + 9.6$ follows the linear form $y = mx + b$, where $m$ (the coefficient of the independent variable) represents the slope. Here, $m$ is the number of months, and $w$ is the weight. The slope 0.28 shows the rate of change of weight per month.

Answer:

A. For every month after the puppy is born, the weight increases by 0.28 pounds.