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

The first blank this is 18,500. Second blank is 1. The third blank is 1.03. hope this helps

Explanation:

Answer 2

18,500 , 1 , 1.03

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.