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Linear functions SAT question

Math · Algebra · Medium · Answer it here, explanation included.

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

Enter a number or fraction (like 3/17 or 0.176). Press Enter to check.

ExplanationShow

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

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