Question

The length of a string in yards is a function f(n) of the length n in inches. Write a function rule for this situation. f(n) = 12n f(n) = 36n

Answer 1

Given:

The length of a string in yards is a function f(n) of the length n in inches

To find:

The function rule for the given situation.

Solution:

We know that,

12 inches = 1 yard

1 inch = $\dfrac{1}{12}$ yard

n inches = $\dfrac{n}{12}$ yards

It is given that the length of a string in yards is a function f(n) of the length n in inches. So,

$f(n)=\dfrac{n}{12}$

Therefore, the required function for the given situation is $f(n)=\dfrac{n}{12}$.