The equation E t = 5 1.8 t gives the estimated number of employees at a restaurant, where t is

Question

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?

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.

Question 847277