Study Guide You can find equations from relations. Suppose you purchased a number of packages of blank casssette tapes. If each package contained three tapes, you could make a chart to show the relationship between the number of packages of blank cassette tapes and the number of tapes purchased. Use x for the number of packages and y for the number of tapes. This relationship can also be shown as an equation. Since y is always three times x, the equation is y = 3x. Another way to discover the relationship is to study the differences between successive values of x and y. This suggests the relation y = 3x. Directions: Write an equation for each relation. Then complete each chart. y = 4x + 2 {10, 14, 16} y = −3x + 4 {1, −2, −5} y = −1/4 x + 3/2 {7/4 , 3/2 , 5/4} y = −3/5 x + 3 {6/5, 3/5, 0} Directions: Write the equation for each relation. y = 1/2 x y = 3x − 1
Writing Equations From Patterns
