Envision Math 2.0: Grade 6, Volume 1
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Envision Math 2.0: Grade 6, Volume 1 View details
9. Use Patterns to Write and Solve Equations
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Exercise 8 Page 237

How does the dependent variable y change, when the independent variable x changes?

Rule: The value of y is 32 more than the value of x.
Equation: y=32+x.

Practice makes perfect
Let's find the pattern that describes the relation between the dependent variable y and the independent variable x. Note that if we add 32 to the value of x we get the value of y. We can include this information in the given table.
x 1 2 3 4 5
Pattern 1+ 32 2+ 32 3+ 32 4+ 32 5+ 32
y 33 34 35 36 37

Now we want to write an equation to describe this relationship. 32more thanx=the value ofy 32+x=y y= 32+x The value of y is 32 more than the value of x. This is represented by the equation y=32+x.