Question

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A dog breeder recorded the weight of a puppy during the first eight months after it was born. The breeder created the equation w = 0.25m + 8.3, 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?

A) When the puppy is born, the total weight is 0.25 pounds.
B) When the puppy is born, the total weight is 8.3 pounds.
C) For every month after the puppy is born, the weight increases by 8.3 pounds.
D) For every month after the puppy is born, the weight increases by 0.25 pounds.

Answer 1

The slope of 0.25 in the equation represents an increase of 0.25 pounds in the puppy's weight for each month after birth. Therefore, the correct answer is option D) For every month after the puppy is born, the weight increases by 0.25 pounds.

Step-by-step explanation:

The slope represents the rate of change in the dependent variable (the puppy's weight) for each unit of change in the independent variable (the number of months since the puppy was born). In the breeder's equation w = 0.25m + 8.3, the slope is 0.25. Therefore, the correct interpretation of the slope is that for every month after the puppy is born, the weight increases by 0.25 pounds. The initial value of the equation, 8.3, indicates the puppy's weight at birth.