a company makes boxes of spaghetti. one machine fills each box with approximately 32 ounces of spaghetti…

a company makes boxes of spaghetti. one machine fills each box with approximately 32 ounces of spaghetti. after the boxes are filled, another machine weighs each box. a box is discarded if the weight of box differs by more than 0.25 ounce from the target weight of 32 ounces. which inequality can be used to find the range of acceptable weights, x, of the spaghetti? |x + 0.25| ≤ 32 |x - 0.25| ≤ 32 |x - 32| ≤ 0.25 |x + 32| ≤ 0.25

a company makes boxes of spaghetti. one machine fills each box with approximately 32 ounces of spaghetti. after the boxes are filled, another machine weighs each box. a box is discarded if the weight of box differs by more than 0.25 ounce from the target weight of 32 ounces. which inequality can be used to find the range of acceptable weights, x, of the spaghetti? |x + 0.25| ≤ 32 |x - 0.25| ≤ 32 |x - 32| ≤ 0.25 |x + 32| ≤ 0.25

Answer

Explanation:

Step1: Understand the concept of absolute - value inequality for deviation

The target weight is 32 ounces and the maximum deviation from the target weight is 0.25 ounces. The absolute - value of the difference between the actual weight (x) and the target weight represents the deviation. The absolute - value of the difference between the actual weight (x) and the target weight 32 ounces should be less than or equal to 0.25 ounces. The expression for the difference between the actual weight (x) and the target weight 32 is (x - 32). Taking the absolute - value of this difference, we get (|x - 32|). Since the deviation should be at most 0.25 ounces, the inequality is (|x - 32|\leq0.25).

Answer:

The correct inequality is (|x - 32|\leq0.25) (the third option).