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Nonlinear functions SAT question

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

The equation  gives the estimated number of employees at a restaurant, where is the number of years since the restaurant opened. Which of the following is the best interpretation of the number in this context?

ExplanationShow

Choice A is correct. For an exponential function of the form , where and are constants, the initial value of the function—that is, the value of the function when —is and the value of the function increases by a factor of each time increases by . Since the function gives the estimated number of employees at a restaurant and is the number of years since the restaurant opened, the best interpretation of the number in this context is the estimated number of employees when , or when the restaurant opened.

Choice B is incorrect and may result from conceptual errors.

Choice C is incorrect and may result from conceptual errors.

Choice D is incorrect and may result from conceptual errors.

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