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The table shows the volume of water in a tank after it has been filled to a certain height. Which equation could represent the volume of water in cubic inches, V, when the height is h inches? Option 1: V = 1 Option 2: V = 1.05 Option 3: V = 8.40 Option 4: V = 28.35

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Final Answer:

The equation representing the volume of water in cubic inches V when the height is h inches is V = 28.35.

Therefore, correct ansswer is Option 4: V = 28.35.

Step-by-step explanation:

The equation V = 28.35 is the only option that provides a non-constant relationship between volume and height. Options 1, 2, and 3 have constant values, which do not capture the changing volume as the height varies. Option 4. V = 28.35 suggests a more realistic and variable relationship, possibly corresponding to the conversion factor between liters and cubic inches.

In practical scenarios, the volume of water in a tank is expected to change with the height, and a constant value cannot accurately represent this relationship. The given table likely demonstrates that as the height increases, the volume also increases, and V = 28.35 is consistent with this pattern.

Understanding the importance of variable relationships in mathematical models and how to interpret and choose appropriate equations based on real-world data.

Therefore, correct ansswer is Option 4: V = 28.35.

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