I CAN USE TABLES, EQUATIONS, AND GRAPHS TO DESCRIBE RELATIONSHIPS 1.9 PATTERNS, EQUATIONS, & GRAPHS.

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Presentation transcript:

I CAN USE TABLES, EQUATIONS, AND GRAPHS TO DESCRIBE RELATIONSHIPS 1.9 PATTERNS, EQUATIONS, & GRAPHS

EQUATIONS WITH TWO VARIABLES A solution of an equation with two variables x and y is the ordered pair (x,y). The ordered pair is only a solution if it makes the equation true. Ex: is (3,10) a solution to the equation y= 4x? NO

DIFFERENT REPRESENTATIONS Both Carrie and her sister Kim were born on October 25, but Kim was born 2 years before Carrie. What are three different ways to represent the relationship between Kim’s age and Carrie’s age?

EQUATION We know that Kim is 2 years older than Carrie. How can we write an equation to show this relationship? y = x + 2 y = Kim’s age x = Carrie’s age What would the equation be if x = Kim’s age and y=Carrie’s age? y = x – 2

TABLE Carrie’s and Kim’s ages (years) Carrie Kim

GRAPH

EXTENDING A PATTERN The table shows the relationship between the number of blue tiles and the total number of tiles. What is the total number of tiles in a figure with 8 blue tiles?

USING A GRAPH

USING AN EQUATION Recognize the pattern in the table. As x increases by 1, y increases by 9. y = 9x Since x is the number of blue tiles, substitute 8 for x y = 9(8) y = 72 tiles

TRY IT! In the same figure, create a table showing the relationship between the number of orange tiles and the total number of tiles. Then, find how many total tiles will be in the figure if there are 28 orange tiles. Hint: use a graph or an equation.

ASSIGNMENT ODDS ONLY P. 64 #9-17, 21-31