Question

A machine can fill containers with 45 ounces of hazelnuts. The weight of a container is 2 ounces. After a container is filled, another machine weighs it. If a filled container’s weight differs from the desired weight by more than 2 ounces, the container is rejected. Create an equation that can be used to determine the minimum and maximum acceptable weights of the containers filled with hazelnuts. (Represent the total weight of the container and the nuts with x.)

Answer 1

Answer: 2 = |x − 47|

Explanation:The total weight of the container and the nuts is x ounces. The desired weight of the container and the nuts is (45 + 2), or 47 ounces. The absolute error allowed is 2 ounces.

absolute error = |actual weight − desired weight|

Substituting the values, the equation obtained is 2 = |x − 47|.