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 9 Page 237

How does the dependent variable n change, when the independent variable m changes?

Rule: The value of n is 3 times the value of m.
Equation: n=3m

Practice makes perfect
Let's find the pattern that describes the relation between the dependent variable n and the independent variable m. Note that if we multiply the value of m by 3 we get the value of n. We can include this information in the given table.
m 0 1 2 3 4
Pattern 0 * 3 1 * 3 2 * 3 3 * 3 4 * 3
n 0 3 6 9 12

Now we want to write an equation to describe this relationship. 3multiplied with the value ofm=the value ofn 3m=n n= 3m The value of n is 3 times the value of m. This is represented by the equation n=3m.