Question

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?
a) | x-0.3 | = 10
b) | x-10 | = 0.3
c) | x+0.3 | = 10
d) | x+10 | = 0.3

Answer 1

Based on the fact that the weight of each bag of barley can vary by 0.3, the maximum and minimum weights allowed can be represented as b) | x-10 | = 0.3.

What equation shows the maximum and minimum?

The equation that would represent the minimum and maximum weights should give the minimum result as:

= 10 - 0.3

= 9.7

The maximum should be:

= 10 + 0.3

= 10.3

The equation that shows that:

| x-10 | = 0.3

This equation can be split into:

x - 10 = 0.3........................................(1)

x = 10.3

-(x - 10) = 0.3 ....................................(2)

x = 9.7

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