Question

The function below describes the number of students who enrolled at a university, where f(t) represents the number of students and t represents the time in years.
Initially,_____ students enroll at the university. Every______ , the number of students who enroll at the university increases by a factor of______ .

Answer 1

Answer:

18,500  , 1 , 1.03

Step-by-step explanation:

I think your question is missed of key information, allow me to add in and hope it will fit the original one.  

f(t) =18,500(1.03)^t  

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

My answer:

Given that:  f(t) =18,500*$1.03^{t}$

1st blank:

Initial value when t = 0, so we have:

f(0) =18,500*$1.03^{0}$

$f(0) =18,500(1)\\ f(0) =18,500$

So we choose D for 1st blank

2nd and 3rd blank:

Because 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 . So  Every  1 year the number of students who enroll at the university increases by a factor of 1.03

=> 2nd blank: 1

=> 3rd blank: 1.03

Hope it will find you well.