Question

WILL GIVE BRAINLIEST!! The yearly population of a city with a 3% yearly growth rate and an initial population of 30,000 can be modeled by the following function where x is time, in years, from 2015.
f(x) = 30,000(1.03)x

The mathematical domain of this function is all real numbers, and its range is all y-values greater than zero.

Which statements describe how the reasonable domain and range compare to the mathematical ones? Check all that apply.
The reasonable domain has a minimum value.
The reasonable domain does not include zero.
The reasonable range has a minimum value of 30,000.
The reasonable range includes zero.
The reasonable range has an implied, but unknown, maximum value.

Answer 1

1, 3, 5

The reasonable domain has a minimum value.

The reasonable range has a minimum value of 30,000.

The reasonable range has an implied, but unknown, maximum value.

Step-by-step explanation:

1. Years cannot be anything below 0.

2. The domain includes 0 because the answer can be the initial value.

3. 30,000 is the initial value and is the minimum solution.

4. The range has a minimal of 30,000.

5. Logically, we know city populations cant be numbers like a billion but we prove that mathematically.