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

Answer

Expert–verified

Hide Steps

Answer

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

Steps

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