Question

A landscaper mows lawns for at least 3 hours but not more than 6 hours. The landscaper can mow 44,000 ft2 per hour. The function f(t)=44,000t represents the number of square feet the landscaper can mow in t hours.

What is the practical range of the function?

all real numbers
all multiples of 44,000 between 132,000 and 264,000, inclusive
all real numbers from 3 to 6, inclusive
all real numbers from 132,000 to 264,000, inclusive

Answer 1

all real numbers from 132,000 to 264,000, inclusive.

Answer 2

Answer:- Fourth options is correct. The practical range of the function = all real numbers from 132,000 to 264,000, inclusive.

Explanation:-

Given function : [tex]f(t)=44,000t[/tex] , represents the number of square feet the landscaper can mow in t hours.

A landscaper mows lawns for at least 3 hours but not more than 6 hours.

⇒ 3 ≤ t ≤ 6

⇒ The practical range of the function = f(3) ≤ f(t) ≤ f(6)

Now, f(3)= 44,000(3)=132,000 sq. ft.

f(6)=44,000(6)=264,000 sq. ft.

Thus, The practical range of the function = 132,000 sq. ft.≤ f(t) ≤ 264,000 sq. ft.

⇒The practical range of the function = all real numbers from 132,000 to 264,000, inclusive.