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Linear equations word problems: tables
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Manco went scuba diving. As he dove deeper, the water pressure aro him increased at a constant rate.

The table compares Manco's depth (in meters) and the water pressure around him (in atmospheres).
Depth (meters) Pressure (atmospheres)
13
17
21
2.3
2.7
3.1
What is the rate of change of the water pressure?
atmospheres per meter
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Answer

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Answer

\( m = \frac{2.1}{8} \text{ atmospheres per meter} \)

Steps

Step 1 ：\( \text{Create two ordered pairs: } (13,1) \text{ and } (21,3.1) \)

Step 2 ：\( \text{Calculate the slope } m = \frac{\Delta y}{\Delta x} = \frac{3.1 - 1}{21 - 13} \)

Step 3 ：\( m = \frac{2.1}{8} \text{ atmospheres per meter} \)