4.

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) = 3n

ƒ(n) = 12n

1 answer

To convert the length from feet to yards, you should know that there are 3 feet in a yard. Therefore, to find the length in yards (ƒ(n)) as a function of the length in feet (n), you would divide the number of feet by 3.

The correct function rule is:

\[ ƒ(n) = \frac{n}{3} \]

Neither \(ƒ(n) = 3n\) nor \(ƒ(n) = 12n\) is correct for converting feet to yards. Instead, use the function \(ƒ(n) = \frac{n}{3}\) to represent the conversion.