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 carrying capacity of a function is the maximum value that the function can attain. However, since we do not have information about the function itself, we need to rely on the given model. The model for the number of cars allowed in the parking lot during the special event can be written as:

f(t) = 11ec19db_849a_9c62_9dbe_bfea80dba6e3_TBX8673_11

Since we do not have a specific form for this function, we cannot determine its carrying capacity directly. However, we can make a reasonable assumption based on the context of the problem.

During a special event, there may be restrictions on the number of cars allowed in a parking lot due to limited space or other practical considerations. Therefore, it is reasonable to assume that the carrying capacity of this function is a finite number, rather than infinity.

The only answer choice that represents a finite number is D, 400. Therefore, the best choice is

Answer: D

The Function Is a Model for the Number of Cars