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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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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 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
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
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
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
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
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
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
Let’s look at the information in a symbolic/algebraic form!
What’s the pattern? Rent
Rent Revenue $600 $550 $500 Rent $450 (5, 450) $400 0 8 2 4 6 10 12 Months
Rent Revenue $600 $550 $500 Rent $450 (5, 450) $400 0 8 2 4 6 10 12 Months
What’s the pattern? Revenue
Rent Revenue $600 Revenue $550 $500 $450 (5, 450) $400 0 8 2 4 6 10 12 Months
y-axis Rent Revenue x-axis months
A B
C D
E F
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
Let’s solve algebraic systems of linear equations!
WHAT!!?? v
They are the SAME Line! Infinite Solutions