Question

the function below describes the number of students who involved at a university where f(t) represents the number of students in t purposes the time in years f(t) =18,500(1.03)^t internally ____ students enrolled at the University every ___ the number of students who enrolled at the University increases by a factor of ___
1st blank:
19,055
1.03
3
18,500
2nd blank:
t years
2 years
3 years
1 year
3rd blank:
19,055
3
18,500
1.03​

Answer 1

Blank 1  D)18,500

Blank 2 D) 1 year

Blank 3 D) 1.03

Step-by-step explanation:

Here we have , the function below describes the number of students who involved at a university where f(t) represents the number of students in t purposes the time in years f(t) =18,500(1.03)^t . internally ____ students enrolled at the University every ___ the number of students who enrolled at the University increases by a factor of ___ . We need to find blanks:

Blank 1

To find initial value we put t=0 , in equation  f(t) =18,500(1.03)^t  :

⇒ $f(0) =18,500(1.03)^0$

⇒ $f(0) =18,500(1)$

⇒ $f(0) =18,500$

So , Initial value is 18,500 .

Blank 2 and 3

In every 1 year the number of students who enrolled at the University increases by a factor of 1.03 . As , it's an exponential function $f(t) =18,500(1.03)^t$ , with every value of t increment f(t) increase by a factor of 1.03  .