Question

A machine is used to fill bags with sand. the average weight of a bag filled with sand is 22.3 pounds. Write an absolute value function descibing the difference between the weight of an average bag of sand and a bag of sand with an unknown weight.

Answer 1

`y=f(x)=|x-22.3|`

Explanation:

Let the weight of the bag of sand with an unknown weight be given as "x" pounds. Then, the difference between the weight of an average bag of sand which is given to be as 22.3 pounds, is given as
`x-22.3`. Therefore, the absolute value function describing the difference between the weight of an average bag of sand and a bag of sand with an unknown weight will be given as:
`|x-22.3|`.

Let us represent this by f(x) or y. And thus, we get:

`y=f(x)=|x-22.3|`