Answer:
Option D.
Step-by-step explanation:
Let [tex]b[/tex] the number of bouquets created, which is a positive variable, and [tex]f(b)[/tex] the number of roses remaining, which is positive also.
The maximum number of roses remaining happens when there are no bouquets created. Hence:
[tex]f_{max} = 288 - 12\cdot (0)[/tex]
[tex]f_{max} = 288[/tex]
And the minimum number of roses remaining occurs when the amount of bouquets created is maximum:
[tex]0 = 288 - 12\cdot b_{max}[/tex]
[tex]12\cdot b_{max} = 288[/tex]
[tex]b_{max} = 24[/tex]
The domain of the function is every integer between 0 and 24, and the range is every interger between 0 and 288. The right answer is D.
