Q2 Flashcard 4

Front

What is a proportional relationship?

Back

A proportional relationship is a relationship between two quantities where the ratio of one quantity to the other quantity is constant.

Front

What is the constant of proportionality in the equation y = kx?

Back

The constant of proportionality is the value 'k' that relates y and x in a proportional relationship.

Front

How can you identify a proportional relationship from an equation?

Back

An equation represents a proportional relationship if it can be written in the form y = kx, where k is a non-zero constant.

Front

Which of the following equations represents a proportional relationship: y = 3x or y = 2x + 5?

Back

y = 3x represents a proportional relationship; y = 2x + 5 does not.

Front

What does the graph of a proportional relationship look like?

Back

The graph of a proportional relationship is a straight line that passes through the origin (0,0).

Front

If y = 52x, what is the value of y when x = 2?

Back

y = 52 * 2 = 104.

Front

What is the significance of the slope in a proportional relationship?

Back

The slope represents the constant of proportionality, indicating how much y changes for a unit change in x.

Front

How do you determine if two quantities are proportional from a table of values?

Back

Two quantities are proportional if the ratios of corresponding values are equal.

Front

What is the difference between proportional and non-proportional relationships?

Back

Proportional relationships have a constant ratio, while non-proportional relationships do not maintain a constant ratio.

Front

What is an example of a non-proportional equation?

Back

An example of a non-proportional equation is y = 5x - 7.