Example 1 Reilly’s AgeAshley’s Age 911 1012 1113 1214 n? Tip: When we write an expression that represents a situation, we want to find the relationship.

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Example 1 Reilly’s AgeAshley’s Age n? Tip: When we write an expression that represents a situation, we want to find the relationship (or connection) between the two values in each row. In this case, Ashley’s age is always two more than Reilly’s. Therefore, the rule is _______ = = = = 14

Example 2 EggsDozens n? Tip: When we write an expression that represents a situation, we want to find the relationship (or connection) between the two values in each row. In this case, the number of dozens is equal to the number of eggs divided by 12. Therefore the rule is ___________. 12 ÷ 12 = 1 24 ÷ 12 = 2 36 ÷ 12 = 3 48 ÷ 12 = 4

Example 3 PositionValue of Term n? Tip: When we write an expression for sequences, we want to find the relationship (or connection) between the two columns. In this example, the rule isn’t so clear. So let’s guess and check to find a rule that works. The rule is ___________.

Try these: Identify the expression that represents each table. 1.)2.) Spike’s AgeRusty’s Age n? Rule: _____________ Field goalsPoints n? Rule: _____________

Try these: Identify the expression that represents each table. 1.)2.) InputOutput n? Rule: _____________ InputOutput n?

Real-Life Example A triangle has a base of 8 inches. The table shows the area of the triangle for different heights. Write an expression that can be used to find the area of the triangle given its height (h). Base (in.) (b) Height (in.) (h) Area (in. 2 ) (A) h?