The equation E(t) = 5(1.8) t gives the estimated number of employees at a restaurant, where t is the number of years since the restaurant opened. Which of the following is the best interpretation of the number 5 in this context?

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Accepted Answer

Choice A is correct. For an exponential function of the form E(t) = a(b) t , where a and b are constants, the initial value of the function—that is, the value of the function when t = 0 —is a and the value of the function increases by a factor of b each time t increases by 1. Since the function E(t) = 5(1.8) t gives the estimated number of employees at a restaurant and t is the number of years since the restaurant opened, the best interpretation of the number 5 in this context is the estimated number of employees when t = 0, 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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