Proportional Tables and Equations

Front

What is the equation for a proportional relationship?

Back

y = kx, where k is the constant of proportionality.

Front

What does the constant of proportionality (k) represent?

Back

It represents the constant rate of change between x and y in a proportional relationship.

Front

Identify the constant of proportionality in the equation y = 14x.

Back

14

Front

Which of the following equations shows a proportional relationship? y = 3x + 9, y = 1/2x, y = 1/2x - 2, y = x^2

Back

y = 1/2x

Front

Does the following table represent a proportional relationship? (Example: x: 1, 2, 3; y: 2, 4, 6)

Back

Yes.

Front

What is a proportional table?

Back

A table that shows two quantities that have a constant ratio.

Front

If y = 5x, what is the value of y when x = 3?

Back

y = 15.

Front

What is the slope of the line represented by the equation y = 2x?

Back

The slope is 2.

Front

How can you determine if a relationship is proportional from a graph?

Back

If the graph is a straight line that passes through the origin (0,0), it is proportional.

Front

What is the relationship between x and y in the equation y = 3x?

Back

y increases by 3 for every 1 increase in x.