Holt Geometry 3-1 Lines and Angles A-CED.A.2Create equations in two or more variables to represent relationships between quantities; graph equations on.

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Holt Geometry 3-1 Lines and Angles A-CED.A.2Create equations in two or more variables to represent relationships between quantities; graph equations on coordinate axes with labels and scales. A-CED.A.4Rearrange formulas to highlight a quantity of interest, using the same reasoning as in solving equations.  Combined variation  Inverse variation  Joint variation

Holt Geometry 3-1 Lines and Angles  Paper for notes  Pearson 8.1  Graphing Calc.

Holt Geometry 3-1 Lines and Angles TOPIC: 8.1 Inverse Variation Name: Daisy Basset Date : Period: Subject: Notes Objective: Rearrange formulas to highlight a quantity of interest, using the same reasoning as in solving equations.

Holt Geometry 3-1 Lines and Angles Vocabulary  Direct Variation  Inverse Variation

Holt Geometry 3-1 Lines and Angles 1. Is the relationship between the variables a direct variation, an inverse variation, or neither? Write function models for the direct and inverse variations.

Holt Geometry 3-1 Lines and Angles A. x y It may vary. As x, y. increases decreases xy 30 Test to see whether xy is constant. inversely y varies inversely to x. The function is.

Holt Geometry 3-1 Lines and Angles B. x y It may vary. As x, y. increases decreases xy Test to see whether xy is constant. inversely Since the products are not constant, the relationship is neither.

Holt Geometry 3-1 Lines and Angles C. x y It may vary. As x, y. increases 40 Test to see whether. is constant. directly y varies directly to x. The function is.

Holt Geometry 3-1 Lines and Angles 2.Suppose x and y vary inversely, and x = 4 when y = 12.

Holt Geometry 3-1 Lines and Angles A.What function models the inverse variation.

Holt Geometry 3-1 Lines and Angles The function is.

Holt Geometry 3-1 Lines and Angles B.What is y when x = 10? y = 4.8 when x = 10.

Holt Geometry 3-1 Lines and Angles  Notes 8.1 day 2  Calculator

Holt Geometry 3-1 Lines and Angles C.Suppose x and y vary inversely, and x = 8 when y = -7. What is the function that models the inverse variation?

Holt Geometry 3-1 Lines and Angles The function is.

Holt Geometry 3-1 Lines and Angles 3.Each pair of values is from a direct variation. Find the missing value.

Holt Geometry 3-1 Lines and Angles (x, 12)(4, 1.5) 1.5 = k4 y = kx

Holt Geometry 3-1 Lines and Angles y = kx (x, 12) 12 = 0.375x x = 32

Holt Geometry 3-1 Lines and Angles 4.Each pair of values is from a inverse variation. Find the missing value.

Holt Geometry 3-1 Lines and Angles (x, 12)(4, 1.5)

Holt Geometry 3-1 Lines and Angles (x, 12)

Holt Geometry 3-1 Lines and Angles

Holt Geometry 3-1 Lines and Angles  Notes 8.1  Calculator

Holt Geometry 3-1 Lines and Angles 5.Your math class has decided to pick up litter each weekend in a local park. Each week there is approximately the same amount of litter.

Holt Geometry 3-1 Lines and Angles The table shows the number of students who worked each of the first four weeks of the project and the time needed for the pickup.

Holt Geometry 3-1 Lines and Angles A. # of students (n) Time in minutes (t) It may vary. The more students who help, the ___ time the cleanup takes. less ntnt Test to see whether nt is constant. inversely

Holt Geometry 3-1 Lines and Angles nt is almost always 255. In real life data, 252 is close enough. Inverse variation is still a good model. The function is.

Holt Geometry 3-1 Lines and Angles B.How many students should there be to complete the project in at most 30 minutes each week?

Holt Geometry 3-1 Lines and Angles 30n = 255 n = 8.5 There should be at least __ students to do the job in at most 30 minutes. 9

Holt Geometry 3-1 Lines and Angles SummarySummarize/reflect D What did I do? L What did I learn? I What did I find most interesting? Q What questions do I still have? What do I need clarified?

Holt Geometry 3-1 Lines and Angles Hmwk 8.1 C Math XL Start Notes 8.2 Work on the Study Plan

Holt Geometry 3-1 Lines and Angles TOPIC: 8.2 The Reciprocal Function Family Name: Daisy Basset Date : Period: Subject: Notes Objective: Identify the effect on the graph of replacing f(x) by f(x) + k and f(x+h) for specific values of h and k (both positive and negative).

Holt Geometry 3-1 Lines and Angles Key Concepts  General Form of the Reciprocal Function Family  The Reciprocal Function Family