Words Equations Tables and Graphs 1 7 Represent

Words, Equations, Tables, and Graphs 1. 7

Represent a Relation Review from 1. 6 • Relation can be a set of ordered pairs • Relation can also be made into an x, y table New: • Relation can be made into an equation with two variables. – One variable represents domain values (x) – The other variable represents the range values (y)

Expanding the x, y Table x Rule y

Example: Make a table and state the domain and range • The team scores 6 points for each touchdown. • X= number of touchdowns • Y= Number of points • Rule: 6 x =y D: {1, 2, 5, 7} R: {6, 12, 30, 35} # of Touchdowns Rule Number of Points x 1 2 5 7 6 x =y y 6(1) 6 6(2) 12 6(5) 30 6(7) 35

Example: Make a table and state the domain and range • Bob spent 5 more than 3 times what Anna spent • X=Anna’s Spending $ • Y=Bob’s Spending $ • Rule: B=3 A+5 y= 3 x +5 D: {2, 4, 6, 8} R: {11, 17, 23, 29} Anna’s Spending $ Rule Bob’s Spending $ x Y=3 x+5 y 2 Y=3(2) +5 4 6 8 Y=3(4) +5 Y=3(6) +5 Y=3(8) +5 11 17 23 29

Multiple Representations 1. Symbol (make into an equation) 2. Table 3. Graph

Ex: There are 16 ounces in 1 pound (a) Symbols: write an (b) Table: find the number equation that can be of ounces in 5, 8, 11 and used to find the 13 pounds number of ounces in p Z=16 p Z any number of pounds. x Rule y Z= ounces 5 80 Z=16(5) P= pounds 8 128 Z=16(8) Z=16 p 11 13 Z=16(11) Z=16(13) 176 208

Ex: There are 16 ounces in 1 pound (Continued) c. ) Graph: Plot the ordered pairs from the table {(5, 80), (8, 128), (11, 176), (13, 208)} Use odd numbers starting with 1 for the x axis Count by 40’s for the y axis (ounces)

Homework Page 39 (4 -8) all