Question

5.
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

Answer 1

To convert the length from feet to yards, you need to know the conversion factor: there are 3 feet in a yard. Therefore, to convert a length \( n \) in feet to yards, you will divide \( n \) by 3.

The function rule that represents the length of the field in yards as a function of the length in feet \( n \) is:

\[
f(n) = \frac{n}{3}
\]

This means for every foot \( n \), the length in yards \( f(n) \) will be one-third of that value.

Neither \( ƒ(n) = 12n \) nor \( ƒ(n) = 3n \) is correct for this conversion. The correct function is \( f(n) = \frac{n}{3} \).