Compare and Contrast Direct Inverse Variation
12.1: Inverse Variation
[Algebra 1 (X)]
HCPS III:
Standard 9: Patterns, Functions, and Algebra: PATTERNS AND FUNCTIONAL RELATIONSHIPS: Understand various types of patterns and functional relationships.
Benchmark MA.AI.9.2: Compare and contrast the concepts of direct and inverse variation of a relation.
Goals:
Graph inverse variations. Solve problems involving inverse variations.
Compare and Contrast Direct & Inverse Variation
is the constant of variation
Inverse Variation
Example 1: Graph an Inverse Variation Find an equation that relates and such that and vary inversely. Then, graph the inverse variation.
6, 15
Inverse Variation Equation Step 1: Find k
Step 2: Write the Equation
Graph of Inverse Variation
Step 3: Table of Values (choose x-values that k is divisible by)
x y
Step 4: Plot the Ordered Pairs and Connect with Two Curves
0
Product Rule
If , and , are solutions of the same inverse variation, then
and
.
Therefore,
Example 2: Solve for x
If and vary inversely, and when 14.
Step 1: Determine , , ,
7 when
4, find
Step 2: Substitute the values for , , , into the product rule formula
Step 3: Solve for the missing x.
................
................
In order to avoid copyright disputes, this page is only a partial summary.
To fulfill the demand for quickly locating and searching documents.
It is intelligent file search solution for home and business.
Related download
- direct and inverse variation
- direct and inverse variation stacking boxes 2
- algebra 1 chapter 04 review murrieta
- inverse variation loudoun county public schools
- direct and inverse variation equation sheet 1
- algebra 2 unit rational functions section direct and
- linear functions equations and inequalities
- algebra i name block date sol a 8 direct inverse
- algebra 2 chapter eight assignments section 8 1 direct and
- workshop 7 direct and inverse variation learner
Related searches
- compare and contrast financial and managerial accounting
- compare and contrast photosynthesis and cell respiration
- compare and contrast cellular respiration and photosynthesis
- compare and contrast primary and secondary
- compare and contrast primary and secondary succession
- compare and contrast public and private school
- compare and contrast behavioral and cognitive
- compare and contrast photosynthesis and respiration
- compare and contrast independent and dependent variables
- compare and contrast correlation and regression
- compare and contrast bar graphs and histograms
- direct inverse variation worksheet