The estimated number of employees when the restaurant opened
The increase in the estimated number of employees each year
The number of years the restaurant has been open
The percent increase in the estimated number of employees each year
Explanation
Correct answer: A.
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.
Desmos solution:
Note: Since t=0 when the restaurant opened, E(0)=5 means the model estimates 5 employees at opening.
Enter in Desmos:
Reviewed and rewritten by CookSAT
Why the other choices are wrong
Choice B
Choice B is incorrect and may result from conceptual errors.
Choice C
Choice C is incorrect and may result from conceptual errors.
Choice D
Choice D is incorrect and may result from conceptual errors.