A landscaper mows lawns for at least 3 hours but not more than a specified number of hours. The landscaper can mow [tex]44,000 \, \text{ft}^2[/tex] per hour. The function [tex]f(t) = 44,000t[/tex] represents the number of square feet the landscaper can mow in [tex]t[/tex] hours.

What is the practical range of the function?

A. All real numbers
B. All real numbers from 132,000 to 264,000, inclusive
C. All real numbers from 3 to 6, inclusive
D. All multiples of 44,000 between 132,000 and 264,000, inclusive

To determine the practical range of the function [tex]\( f(t) = 44,000t \)[/tex], we need to consider the landscaper's mowing activity, which occurs for a certain number of hours.

1. Identify the range of hours: The landscaper mows for at least 3 hours but not more than 6 hours. Therefore, [tex]\( t \)[/tex] can be any value between 3 and 6, inclusive.

2. Calculate the area mowed:
- For the minimum time of 3 hours:
[tex]\[
f(3) = 44,000 \times 3 = 132,000 \text{ square feet}
\][/tex]
- For the maximum time of 6 hours:
[tex]\[
f(6) = 44,000 \times 6 = 264,000 \text{ square feet}
\][/tex]

3. Determine the practical range of the function: The function's output or range is the total area mowed, which can vary based on how many hours the landscaper mows. Therefore, the practical range of the function contains all possible values of area that can be mowed, starting from 132,000 square feet to 264,000 square feet, inclusive.

4. Look at the given choices: Of the choices provided, the one that best represents the practical range of areas that can be mowed is:
- "All multiples of 44,000 between 132,000 and 264,000, inclusive"

Thus, the practical range of the function [tex]\( f(t) = 44,000t \)[/tex] is all multiples of 44,000 between 132,000 and 264,000, inclusive.