Flashcards on Direct Proportionality Functions

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What are direct proportionality functions?

Functions where the dependent variable is directly proportional to the independent variable.

How can direct proportionality be represented algebraically?

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

What do the graphs of direct proportionality functions look like?

They form a straight line passing through the origin (0,0).

What happens to the dependent variable when the independent variable increases in direct proportionality functions?

The dependent variable also increases.

What happens to the dependent variable when the independent variable decreases in direct proportionality functions?

The dependent variable also decreases.

What is the slope of the graph of a direct proportionality function?

The slope is equal to the constant of proportionality.

In direct proportionality functions, what happens to the ratio of dependent variable to independent variable?

The ratio is constant, i.e. it does not change.

What is an example of a real-life situation that can be modeled by a direct proportionality function?

The distance traveled by a car and the time taken, when the car is moving at a constant speed.

How can the constant of proportionality be determined from a table of values?

By dividing the value of the dependent variable by the value of the independent variable for any point on the table.

What is the general form of a direct proportionality function?

y = kx

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Test Your Knowledge


In direct proportionality functions, what happens to the dependent variable when the independent variable increases?



What is the equation commonly used to represent direct proportionality functions?



What can be stated about the ratio of dependent variable to independent variable in direct proportionality functions?



What kind of line is formed by the graph of a direct proportionality function?



What is the slope of the graph of a direct proportionality function?



For a direct proportionality function, if the value of the independent variable is halved, what happens to the value of the dependent variable?



Which of the following situations can be modeled by a direct proportionality function?



What is the constant of proportionality in the equation y = 5x?



What happens to the dependent variable in a direct proportionality function when the value of the independent variable is zero?



What is the general form of a direct proportionality function?




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