The number of ants in a colony at time t (in days) is modeled by . How many ants will be in the colony after 6 days (rounded to the nearest integer)?
A) 759
B) 449
C) 10461
D) 23
E) 4553

Question

The number of ants in a colony at time t (in days) is modeled by  . How many ants will be in the colony after 6 days (rounded to the nearest integer)?
A) 759 
B) 449 
C) 10461 
D) 23 
E) 4553

Quizplus · Accepted Answer

Plugging in t = 6 into the given function, we get:

11ec19db_8495_e207_9dbe_e9cbca806405_TBX8673_12

Rounding to the nearest integer, we get 10,460. Therefore, the answer is C, 10,461 (rounded to the nearest integer).

The Number of Ants in a Colony at Time T