Variables and Patterns

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Presentation transcript:

Variables and Patterns Rules and Equations Investigation 3

Equations with One Operation 3.1 Writing Equations Equations with One Operation KeY VoCaBuLaRy Rule Tells you how to find the value of a variable (usually written in words). Equation A rule containing variables that represent mathematical relationships. Ex: The cost in dollars is equal to 21 times the number of people. (Rule) C = 21 ● p (Equation) C = 21●p How much will it cost for 20 people? C = 21●p C = 21 ● 20 C = $420

3.2 Writing More Equations Equations with Two Operations Steps in Writing Equations Create a rule. Develop an equation from the rule. Example: A cell phone plan costs $5.00 for monthly access and .10 cents per minute. Write an equation. How much will it cost if you used 50 minutes? A cell phone plan costs $5.00 for monthly access and .10 cents per minute (Rule) C = $5.00 + .10 m (Equation) C=$5.00 + .10m

3.3 Paying Bills and Counting Profits Equations for Revenue, Expenses, and Profit Steps for writing a rule from a chart Look for a pattern of increase or decrease and how it relates. Create the rule. Make the equation. Profit = Income – Expenses Camp Income and Costs Number of Campers Income Food Class Materials 1 335 50 35 2 670 100 70 Income: Pattern – it increases by 335 per camper. The income increases by 335 per camper. (Rule) I = 335 c (Equation) I=335c