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 =
`(1)/(12)` yard

n inches =
`(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)=(n)/(12)`

Therefore, the required function for the given situation is
`f(n)=(n)/(12)`.