1. Notes 4.1 Patterns, Tables, and Expressions A table of values is a table that is used to organize several values of an expression. Example 1 A skating rink sells monthly memberships for $25. It also charges $3 each time you skate. Write a table of values that shows the amount you pay if you skate 0, 1, 2, 3, 4, 5, 6, 7, and 8 times a month.

2. 25 + 3x = total cost, where x = the # of skates Strategy: Begin making a list for the total cost for skating x times a month.

3. Example 2 During the school year, the skating rink has a student monthly rate of $30, plus a $1 charge each time you skate. Write an expression for the total amount you pay at the student rate if you skate x times a month. 30 + x From the list, you can see that the total cost to skate x times in a month is given by the expression 25 + 3x.

4. Example 3 Compare the skating rink’s plans from examples 1 and 2. How many times must you skate in a month for the student plan to be cheaper? According to the table, at least 3 times.

5. URL of the day http://lhs.lps.org/instruct/math_rem/algebra /alg_exp.htm http://lhs.lps.org/instruct/math_rem/algebra /alg_exp.htm http://lhs.lps.org/instruct/math_rem/algebra /alg_exp.htm http://lhs.lps.org/instruct/math_rem/algebra /alg_exp.htm http://www.bagism.com/tablemaker/ http://www.bagism.com/tablemaker/ http://www.bagism.com/tablemaker/

6. homework answers 16) mpa: The value of the expression begins at 30. Each time n is increased by 1, the value of the expression decreases by 3.

7. 17) mpa: The value of the expression begins at 50. Each time n is increased by 1, the value of the expression increases by 6. 18) 3.90+0.10n 19) mpa: For fewer than 7 letters, the first company offers a better deal. For 7 letters both companies’ prices agree. Beyond 7 letters, the second company offers the better deal. 20) B 21) D

8. 22) L = 4 + 2w Week (w) computation Laps (L) 14+2(1)6 24+2(2)8 34+2(3)10 44+2(4)12 54+2(5)14 64+2(6)16