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Let’s organize our information!

Let’s organize our information!. Revenue. Rent. Month. $400.00. $600.00. 0. $410.00. $570.00. 1. $420.00. $540.00. 2. Let’s look at the data in a graph form!. Rent Revenue. $600. $550. $500. $450. (5, 450). $400. 0. 8. 2. 4. 6. 10. 12. Months. Rent Revenue.

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Let’s organize our information!

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  1. Let’s organize our information!

  2. Revenue Rent Month $400.00 $600.00 0 $410.00 $570.00 1 $420.00 $540.00 2

  3. Let’s look at the data in a graph form!

  4. Rent Revenue $600 $550 $500 $450 (5, 450) $400 0 8 2 4 6 10 12 Months

  5. Rent Revenue These are called a linear functions. Why? $600 What do you call the place where two roads cross? Revenue $550 $500 Rent intersection $450 (5, 450) $400 0 8 2 4 6 10 12 Months

  6. Rent Revenue Where does the revenue function begin? $600 Revenue $550 Where does the rent function begin? $500 Rent $450 (5, 450) $400 0 8 2 4 6 10 12 Months

  7. Rent Revenue By looking at the graph, how can you tell which linear function is steeper? $600 Revenue $550 By looking at the table, how can you tell which linear function is steeper? $500 Rent $450 (5, 450) $400 0 8 2 4 6 10 12 Months

  8. Rent Revenue By looking at the graph, how can you tell which linear function is decreasing? $600 Revenue $550 By looking at the table, how can you tell which linear function is decreasing? $500 Rent $450 (5, 450) $400 0 8 2 4 6 10 12 Months

  9. Rent Revenue By looking at the graph, how can you tell which linear function is increasing? $600 Revenue $550 By looking at the table, how can you tell which linear function is increasing? $500 Rent $450 (5, 450) $400 0 8 2 4 6 10 12 Months

  10. Rent Revenue How much does the rent function change each month? $600 Revenue $550 How does the graph show this change? $500 Rent How does the table show this change? $450 (5, 450) $400 0 8 2 4 6 10 12 Months

  11. Rent Revenu How much does the revenue function change each month? $600 Revenue $550 How does the graph show this change? $500 Rent How does the table show this change? $450 (5, 450) $400 0 8 2 4 6 10 12 Months

  12. Let’s look at the information in a symbolic/algebraic form!

  13. What’s the pattern? Rent

  14. Rent Revenue $600 $550 $500 Rent $450 (5, 450) $400 0 8 2 4 6 10 12 Months

  15. Rent Revenue $600 $550 $500 Rent $450 (5, 450) $400 0 8 2 4 6 10 12 Months

  16. What’s the pattern? Revenue

  17. Rent Revenue $600 Revenue $550 $500 $450 (5, 450) $400 0 8 2 4 6 10 12 Months

  18. Let’s get abstract!

  19. y-axis Rent Revenue x-axis months

  20. A B

  21. C D

  22. E F

  23. Rent Revenue How can we find the intersection? $600 Revenue $550 $500 Rent intersection $450 (5, 450) $400 0 8 2 4 6 10 12 Months

  24. Let’s solve algebraic systems of linear equations!

  25. Let’s graph this baby!

  26. Let’s graph this baby!

  27. WHAT!!?? v

  28. They are the SAME Line! Infinite Solutions

  29. Solve it by solving for y in the first equation first.

  30. Solve it by solving for x in the second equation first.

  31. Is there another way to solve this?

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