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 10 Page 237

How does the dependent variable k change, when the independent variable g changes?

Rule: The value of k is 15 less than the value of g.
Equation: k=g-15
Table:

g 32 37 42 47 52
k 17 22 27 32 37
Practice makes perfect

Let's find the pattern that describes the relation between the dependent variable k and the independent variable g. Note that if we subtract 15 from the value of the variable g we get the value of k. We can include this information in the given table.

g 32 37 42 47 52
Pattern 32- 15 37- 15 42- 15
k 17 22 27
Now we want to write an equation to describe this relationship. 15less than the value ofg=the value ofk g- 15=k k=g- 15 We can use this equation to calculate the missing values in the table. Let's first calculate the value of k when g is 47.
k=g-15
k= 47-15
k= 32
In the same way, we calculate the value of k when g is 52. k= 52-15 → k= 37 Finally, we insert the values for k and complete the table.
g 32 37 42 47 52
k 17 22 27 32 37