Question

Please help ASAP

A machine packages barley into plastic bags. The weight of each bag of barley is supposed to be 10 ounces, but acceptable weights can vary by 0.3 ounces.

Which equation represents the minimum and maximum weights allowed for a bag of barley?

∣x−0.3∣=10

∣x+10∣=0.3

∣x+0.3∣=10

∣x−10∣=0.3

Answer 1

|x - 10| = 0.3

Explanation:

The weight of the barley is x.

x can be any weight from 9.7 oz to 10.3 oz.

x - 10 is the difference between the real weight of the bag and 10 oz.

x - 10 can be a number from -0.3 to 0.3.

We take the absolute value of the difference, and make sure it is equal to 0.3.

|x - 10| = 0.3

Let's solve the equation.

x - 10 = 0.3 or x - 10 = -0.3

x = 10.3 or x = 9.7

Since the maximum and minimum weights are 10.3 oz and 9.7 oz, our equation is correct.

Answer: |x - 10| = 0.3