Exploring Proportional Relationships in Mathematics

What are the three ways to represent a proportional relationship?

• Graphs, tables, and equations

• Graphs, tables, and charts

• Equations, charts, and diagrams

• Tables, charts, and diagrams

In the equation y = kx, what does the 'k' represent?

• A variable

• A constant

• A coefficient

• A function

How do you determine the constant of proportionality from a table?

• By subtracting x from y

• By dividing y by x

• By adding the x and y values

• By multiplying x and y

What shape does the graph of a proportional relationship form?

• A circle

• A straight line

• A parabola

• A curve

Where does the line of a proportional relationship always pass through on a graph?

• The point (1,1)

• The y-axis

• The x-axis

• The origin (0,0)

What is the equation for a proportional relationship if the constant of proportionality is 2?

• y = 2x

• y = 2 + x

• y = x/2

• y = x - 2

In the real-world example, how much rice does each village receive?

• 1.5 tons

• 1.2 tons

• 2.0 tons

• 2.4 tons

What is the equation representing the relationship between the number of villages and the amount of rice distributed?

• y = 2.4x

• y = 2.0x

• y = 1.2x

• y = 1.5x

If there are 3 villages, how much rice is needed?

• 2.4 tons

• 3.6 tons

• 3.0 tons

• 3.2 tons

What is the significance of the point (0,0) in a proportional relationship graph?

• It is irrelevant

• It indicates the end point

• It shows the starting point

• It represents the maximum value