Question
If the function f(y) = n models the number, n, of inches a tree grows in a year, y, which describes an appropriate domain for the function?
Responses
A all integers where y > 0all integers where y > 0
B all integers where y ≥ 0all integers where y ≥ 0
C all rational numbers where y > 0 all rational numbers where y > 0
D all rational numbers where y ≥ 0
Responses
A all integers where y > 0all integers where y > 0
B all integers where y ≥ 0all integers where y ≥ 0
C all rational numbers where y > 0 all rational numbers where y > 0
D all rational numbers where y ≥ 0
Answers
GPT-4o mini
In the context of modeling the growth of a tree in inches per year, the variable \( y \) represents the number of years, and it makes sense for it to be non-negative since you cannot have a negative number of years.
Therefore, an appropriate domain for the function would be:
**B: all integers where \( y \geq 0 \)**
This allows for the inclusion of year 0 (the starting point) and all subsequent whole years, which accurately reflects the growth of a tree over time.
Therefore, an appropriate domain for the function would be:
**B: all integers where \( y \geq 0 \)**
This allows for the inclusion of year 0 (the starting point) and all subsequent whole years, which accurately reflects the growth of a tree over time.