Susan makes and sells rectangular quilts of different sizes. The width of each rectangular quilt is 3 units less than its length. The area of each quilt can be modeled by the function f (x) = x (x-3), where x represents the length of the quilt. What is the reasonable domain of the function in the given context?

A. all integers

B. all integers greater than 0

C. all integers greater than 3

D. all integers greater than 3 and less than 0

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Mathematics

14 March, 14:55

Susan makes and sells rectangular quilts of different sizes. The width of each rectangular quilt is 3 units less than its length. The area of each quilt can be modeled by the function f (x) = x (x-3), where x represents the length of the quilt. What is the reasonable domain of the function in the given context?

A. all integers

B. all integers greater than 0

C. all integers greater than 3

D. all integers greater than 3 and less than 0

+4

Answers (1)

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Kassidy Moyer · Answer 1

The area is

f (x) = x (x - 3).

The area cannot be zero.

However, f = 0 when x = 0 or when x = 3.

Therefore the domain includes x >3.

Answer: C. all integers greater than 3.