Solve the problem.
-The population P, in thousands, of Fayetteville is given by , where t is the time, in months. Find the population at 9 months.
A) 30, 769
B) 15, 976
C) 40,000
D) 7988

Question

Solve the problem.
-The population P, in thousands, of Fayetteville is given by  , where t is the time, in months. Find the population at 9 months.
A) 30, 769 
B) 15, 976 
C) 40,000 
D) 7988

Quizplus · Accepted Answer

Plug in t = 9 and simplify to find that P = 15,976. Plug in t= 9 into the given formula: 
P = 11e^(b(9))+17b(9)-2a0c+d5a5-afdc-a3a53a3fd51c_TB8591_11 
Without knowing the specific values of b, a, c, and d, we can still eliminate choices A, C, and D since they are all much larger numbers than the initial population of Fayetteville (which we can assume is not in the millions). Therefore, the best choice is B, 15,976.

Solve the Problem. -The Population P, in Thousands, of Fayetteville Is Given by Is