The function is a model for the number of cars allowed in a parking lot during a special event, where t is measured in hours. What is the carrying capacity for the function f ?
A) 1
B) 2
C) 3
D) 400
E) Not enough information

Question

The function  is a model for the number of cars allowed in a parking lot during a special event, where t is measured in hours. What is the carrying capacity for the function f ?
A) 1 
B) 2 
C) 3 
D) 400 
E) Not enough information

Quizplus · Accepted Answer

The given function model for the number of cars allowed in a parking lot cannot directly indicate the carrying capacity. However, since the question asks for the carrying capacity, we can assume that the function reaches its maximum value at a certain point and remains constant afterward, indicating the maximum number of cars that can be accommodated in the parking lot. Since the given function provides no information about the shape of the curve or the maximum value, we cannot find the carrying capacity precisely. However, among the given choices, only option D seems to provide a realistic upper limit for the number of cars that can fit into a parking lot. Therefore, the best choice is D.

The Function Is a Model for the Number of Cars