Exploring the Constant of Proportionality

The video tutorial introduces the concept of the constant of proportionality, explaining its definition and significance in mathematics. It covers how to determine the constant from ratio tables and graphs, using examples to illustrate the process. The tutorial also introduces a formula for finding the constant in more complex scenarios. The video aims to equip students with the skills to identify and calculate the constant of proportionality in various contexts.

What is the essential question discussed in this lesson?

• How to solve quadratic equations?

• What is the constant of proportionality and how do I find it?

• What are the properties of triangles?

• How to calculate the area of a circle?

In the ratio table example with burgers and hot dogs, what is the constant of proportionality?

• 4

• 2

• 1/2

• 3

Why is the table with cars and trucks not proportional?

• Because the table is incomplete.

• Because the ratios are not equivalent.

• Because the numbers are too large.

• Because the ratios are all the same.

What formula is used to find the constant of proportionality when it's not easily visible?

• x divided by y equals K

• y divided by x equals K

• x multiplied by y equals K

• y multiplied by x equals K

In the example with the ratio 1.125 to 1.5, what is the constant of proportionality?

• 0.5

• 2

• 1.5

• 0.75

When finding the constant of proportionality from a graph, what is the first step?

• Pick a point exactly on the lines

• Guess the value of K

• Subtract the coordinates

• Multiply the coordinates

In the graph example with coordinates (10, 12), what is the constant of proportionality?

• 5/6

• 1/2

• 2/3

• 3/4

For the graph with tubas and trumpets, what is the constant of proportionality?

• 2

• 1/2

• 1/4

• 3/4

What is the purpose of using the formula y divided by x equals K?

• To check if the table is complete

• To determine the constant of proportionality

• To find the sum of the ratios

• To find the difference between ratios

What should you do if the constant of proportionality is not easily visible in a table?

• Ignore the table

• Use the formula y divided by x equals K

• Guess the constant

• Multiply all values by 2