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A company fills bottles with 16 ounces of water. The bottles are weighed by a machine once they are filled. The acceptable volume range can vary by 0.6 ounces.

**Part A:** Write an equation to represent the highest and lowest volumes that will be approved for use. (4 points)

**Part B:** Solve the equation to determine the highest and lowest volumes. Show your work. (6 points)

Answer :

Part A: Equation: [tex]\( 15.4 \leq V \leq 16.6 \)[/tex]

Part B: Highest Volume: 16.6 ounces, Lowest Volume: 15.4 ounces

How did we arrive at these values?

Part A: Let V represent the volume in ounces of water in the bottle.

The highest acceptable volume would be when the bottle is filled with 16 ounces + 0.6 ounces = 16.6 ounces.

The lowest acceptable volume would be when the bottle is filled with 16 ounces - 0.6 ounces = 15.4 ounces.

So, the equation representing the highest and lowest volumes is:

[tex]\[ 15.4 \leq V \leq 16.6 \][/tex]

Part B: To find the highest and lowest volumes, we already have them:

Highest volume: V = 16.6 ounces

Lowest volume: V = 15.4 ounces

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