Exploring Slope-Intercept Form: Proportional vs Non-Proportional Situations

The video tutorial explains the difference between proportional and non-proportional relationships using babysitting scenarios. It demonstrates how to represent these relationships in tables and graphs, focusing on the slope-intercept form y=mx+b. The tutorial highlights that proportional relationships start at the origin (0,0), while non-proportional ones have a y-intercept. Examples include Jennifer's babysitting charges with and without an initial fee, illustrating how these concepts apply in real-world situations.

What is the main difference between proportional and non-proportional relationships?

• Non-proportional relationships have a constant rate of change, while proportional relationships do not.

• Proportional relationships have a variable rate of change, while non-proportional relationships have a constant rate.

• Proportional relationships start at the origin (0,0), while non-proportional relationships do not.

• Proportional relationships have a constant rate of change, while non-proportional relationships do not.

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CCSS.8.EE.B.5

If Jennifer babysits for 3 hours at her home, how much will she earn?

• $60

• $45

• $30

• $15

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CCSS.HSF.LE.B.5

What is the y-intercept in the graph of Jennifer's charges when she babysits at her home?

• $0

• $30

• $15

• $45

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CCSS.8.EE.B.5

How much does Jennifer charge for 2 hours of babysitting at a client's house?

• $30

• $50

• $25

• $40

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CCSS.HSF.LE.B.5

What is the initial fee Jennifer charges before she starts babysitting at a client's house?

• $10

• $25

• $0

• $15

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CCSS.HSF.LE.B.5

In the equation y = mx + b, what does 'm' represent?

• The constant term

• The x-intercept

• The slope or rate of change

• The y-intercept

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CCSS.8.EE.B.6

CCSS.8.F.A.3

For the proportional example, what is the value of 'b' in the equation y = mx + b?

• 10

• 45

• 0

• 15

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CCSS.8.EE.B.6

CCSS.8.F.A.3

In the non-proportional example, what is the value of 'b' in the equation y = 15x + b?

• 0

• 15

• 10

• 25

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CCSS.8.EE.B.6

CCSS.8.F.A.3

Which of the following equations represents a non-proportional relationship?

• y = 15x + 10

• y = 0x + 15

• y = 15x

• y = 10x + 15

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CCSS.8.F.A.3

What is the starting point of a proportional relationship on a graph?

• (15, 0)

• (10, 0)

• (0, 10)

• (0, 0)

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CCSS.7.RP.A.2D