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Graph a Linear Equation 2
Understand the relationship between the equation of a line and it’s graph.
NASA’s Neutral Buoyancy Lab pool needs to be filled with water.
It currently has 2 inches of water in it.
You are adding water at 3 inches per hour.
You want to know how long it takes to fill up the pool.
You can write an equation to represent the water level’s height in inches by expressing it as y=3x+2.
Y is the height of the water in the pool and X is the time in hours.
This is how y=3x+2 reads:
The height of the water in the pool (y) equals (3)inches per hour times the number of hours you add water plus the 2 inches of water already in the pool.
Graph the equation and find how high the water is in the pool after 0,1,2 and 3 hours.
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Get Ready
Start the MathTrax application.
Select the “Equations” tab at the top of the MathTrax application.
Define an Equation
Type the equation y=3x+2 in the “Enter Equation” box.
Press Return
View Graph
Identify x-axis and y-axis
Identify and record how high the water in the pool is at 0, 1, 2 and 3 hours.
Change the Parameters
What happens if you change the rate at which you add water to the pool?
Change the rate at which you are adding water to 4 inches per hour.
Identify and record how high the water in the pool is at 0, 1, 2 and 3 hours.
Aligns with NCTM Algebra Standard Grade 6-8
http://standards.nctm.org/document/chapter6/alg.htm
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