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4.5 Writing a Function Rule

Function Rule: An equation that describes a function. 4.5 Writing a Function Rule. GOAL:. In math problems many times we can look at what is happening to the data and see patterns. These patterns will provide the details to write Function Rules – equation.

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4.5 Writing a Function Rule

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  1. Function Rule: An equation that describes a function. 4.5 Writing a Function Rule

  2. GOAL:

  3. In math problems many times we can look at what is happening to the data and see patterns. These patterns will provide the details to write Function Rules – equation. Ex: A landfill has 50,000 tons of waste in it. Each month it accumulates an average of 420 tons of waste. What is a function rule that represents the total amount of waste after m months?

  4. To solve this problem, we must write down what we are given: A landfill has 50,000 tons of waste in it. Each month it accumulates an average of 420 tons of waste. What is a function rule that represents the total amount of waste after m months? Given: 1) 50,000 tons on the property already 2) 420 tons accumulate each month 3) m months after Define: Use a variable to represent the Final/Total amount. Here let W represent the total amount of waste. Write: Use the given info and the variable to write the Function Rule: W(m) = 420m + 50,000

  5. YOU TRY IT: At a concert hall the mezzanine of 10 rows with 12 seats each at $25 is sold out. The revenue from ticket sales will depend on the number of general seating tickets sold. If the general seating has 30 rows with 16 seats which cost $10.00 each, What is the maximum possible total revenue?

  6. YOU TRY IT: (Solution) At a concert hall the mezzanine of 10 rows with 12 seats each at $25 is sold out. The revenue from ticket sales will depend on the number of general seating tickets sold. If the general seating has 30 rows with 16 seats which cost $10.00 each, What is the maximum possible total revenue? Given: 1) Mezzanine: 10 rows, 12 seats each, $25.00 2)General: 30rows,16seats, $10.00 Define: Let R be the total revenue Let n be the total general tickets sold Write: R = 10n + (10∙12∙25) General Seating revenue Mezzanine revenue

  7. YOU TRY IT: Carolyn has 420 CDs in her collection. Each month she adds 12 CDs to the collection. What equation is a Function Rule that represents Carolyn’s situation?

  8. YOU TRY IT: (Solution) Carolyn has 420 CDs in her collection. Each month she adds 12 CDs to he collection. What equation is a Function Rule that represents Carolyn’s situation? Given: 1) 420 CDs in collection already 2) 12 CDs each month added Define: Let Y be the total CDs Let x be the months after the 420 CDs Write: Y = 12x + 420 CDs per month CDs already in the collection

  9. VIDEOS: Functions https://www.khanacademy.org/math/algebra/ratio-proportion-topic/ratios_algebra/v/writing-proportions https://www.khanacademy.org/math/algebra/ratio-proportion-topic/ratios_algebra/v/find-an-unknown-in-a-proportion

  10. CLASS WORK: Pages: 264 – 267 Problems: As many as it takes to master the concept.

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