Graphing Proportional Relationships in Math 8

The video tutorial covers graphing proportional relationships, starting with a review of proportions and graphing. It includes three examples: calculating the cost of an internet plan using y=10x, determining weight on Titan compared to Earth, and comparing the speed of ski lifts using slope. Each example demonstrates how to graph equations and interpret slopes in real-world contexts.

What is the equation form for proportional relationships?

• Y = M + X

• Y = MX

• Y = M - X

• Y = MX + B

In the equation y = 10x, what does the number 10 represent?

• The constant term

• The X-intercept

• The slope

• The Y-intercept

Which point does the line y = 10x pass through?

• (1, 10)

• (10, 0)

• (0, 10)

• (0, 0)

How do you interpret the slope in the context of the equation y = 10x?

• You pay $1 for 10 gigabytes

• You pay $10 for 1 gigabyte

• You pay $10 for 10 gigabytes

• You pay $1 for 1 gigabyte

What is the weight of an object on Titan if it weighs 105 lb on Earth?

• 1 lb

• 7 lb

• 105 lb

• 15 lb

What is the slope of the line representing the weight on Titan versus Earth?

• 105

• 1/7

• 15

• 7

If an object weighs 3.5 lb on Titan, how much does it weigh on Earth?

• 24.5 lb

• 3.5 lb

• 17 lb

• 7 lb

What is the slope of the four-person ski lift?

• 2

• 2.5

• 4

• 8

Which ski lift is faster based on the slope?

• Four-person ski lift

• Both are the same

• Cannot be determined

• Two-person ski lift

What does a steeper slope indicate in the context of the ski lifts?

• Equal speed

• No relation to speed

• Faster speed

• Slower speed