Understanding Constant of Proportionality

The video tutorial covers finding the constant of proportionality using graphs and tables. It begins with labeling axes and calculating Y over X from a graph, using charity ticket sales as an example. The lesson progresses to using tables with fractions, such as luxury taxi fees, to find proportionality. Complex fractions are solved, and calculations are verified for accuracy. The tutorial concludes with vocabulary on proportionality and non-examples, including a humorous take on the concept.

What is the first step in setting up your note sheet for today's lesson?

• Write down the lesson objectives.

• List all the formulas you know.

• Draw a graph on page 25.

• Add page 24 to your table of contents.

When labeling axes on a graph, which axis is typically vertical?

• Z-axis

• X-axis

• W-axis

• Y-axis

What is the formula for the constant of proportionality?

• X times Y

• Y over X

• Y minus X

• X over Y

Why can't you use the point (0,0) to find the constant of proportionality?

• Zero divided by zero is undefined.

• It is not a valid point.

• It is not on the graph.

• It gives a negative value.

If the Y value is 1800 and the X value is 80, what is the constant of proportionality?

• $225.00

• $80.00

• $18.00

• $22.50

How much money is raised per ticket sold for the charity?

• $225.00

• $18.00

• $22.50

• $80.00

If 600 tickets are sold, how much money will be raised?

• $22,500

• $15,000

• $1,350

• $13,500

What is the first step in finding the constant of proportionality using a table?

• Use the last ordered pair.

• Use the first ordered pair.

• Use the largest numbers.

• Use the middle ordered pair.

How do you solve a complex fraction like 2 over 1/4?

• Multiply by the reciprocal of the denominator.

• Add the fractions.

• Divide the fractions.

• Subtract the fractions.

What does a constant of proportionality of $8 per mile mean?

• It costs $8 for every three miles driven.

• It costs $8 for every mile driven.

• It costs $8 for every two miles driven.

• It costs $8 for every half mile driven.