Question
The length of a field in yards is a function ƒ(n) of the length n in feet. Write a function rule for this situation.
ƒ(n) = 12n
ƒ(n) = 3n
ƒ(n) = 12n
ƒ(n) = 3n
Answers
GPT-4o mini
To convert the length of a field from feet to yards, we need to know the conversion factor between these two units. There are 3 feet in a yard. Therefore, to convert feet to yards, you would divide the length in feet (n) by 3.
The correct function rule that describes the relationship between the length in feet (n) and the length in yards (ƒ(n)) is:
\[
ƒ(n) = \frac{n}{3}
\]
This means that for any length \( n \) in feet, the function \( ƒ(n) \) gives the length in yards.
The options provided (ƒ(n) = 12n and ƒ(n) = 3n) do not correctly represent the conversion from feet to yards.
The correct function rule that describes the relationship between the length in feet (n) and the length in yards (ƒ(n)) is:
\[
ƒ(n) = \frac{n}{3}
\]
This means that for any length \( n \) in feet, the function \( ƒ(n) \) gives the length in yards.
The options provided (ƒ(n) = 12n and ƒ(n) = 3n) do not correctly represent the conversion from feet to yards.