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Algebra / Linear functions Difficulty: Medium

A model predicts that a certain animal weighed $241$ pounds when it was born and that the animal gained $3$ pounds per day in its first year of life. This model is defined by an equation in the form $f (x) = a + b x$ , where $f (x)$ is the predicted weight, in pounds, of the animal $x$ days after it was born, and $a$ and $b$ are constants. What is the value of $a$ ?

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Explanation

The correct answer is $241$ . For a certain animal, it's given that a model predicts the animal weighed $241$ pounds when it was born and gained $3$ pounds per day in its first year of life. It's also given that this model is defined by an equation in the form $f (x) = a + b x$ , where $f (x)$ is the predicted weight, in pounds, of the animal $x$ days after it was born, and $a$ and $b$ are constants. It follows that $a$ represents the predicted weight, in pounds, of the animal when it was born and $b$ represents the predicted rate of weight gain, in pounds per day, in its first year of life. Thus, the value of $a$ is $241$ .