Problem

Linear equations \& graphs: Unit \( x \) how to solve slope in table hear-equations-graphs/x2f8bb \( 11595 \mathrm{~b} 61 \mathrm{c} 86 \) modeling-with-linear-equation... Google Classroom him increased at a constant rate. around him (in atmospheres). 13 2.3 17 2.7 21 3.1 What is the rate of change of the water pressure? atmospheres per meter Show Calculator 9 of 16

Solution

Step 1 :Select two points from the table: (13, 2.3) and (17, 2.7)

Step 2 :Calculate the change in pressure: \(\Delta P = 2.7 - 2.3 = 0.4\)

Step 3 :Calculate the change in depth: \(\Delta D = 17 - 13 = 4\)

Step 4 :Determine the rate of change of water pressure: \(\frac{\Delta P}{\Delta D} = \frac{0.4}{4} = 0.1\) atmospheres per meter

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