Proportional Equations (graphs and tables)

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 is constant.

Front

What is the Constant of Proportionality (COP)?

Back

The Constant of Proportionality is the constant value (k) that relates two proportional quantities, expressed as y = kx.

Front

How can you identify a proportional relationship in a graph?

Back

A graph represents a proportional relationship if it is a straight line that passes through the origin (0,0).

Front

What does the equation d = 60t represent?

Back

This equation represents a proportional relationship where distance (d) is directly proportional to time (t) with a constant of proportionality of 60.

Front

What does it mean if a graph does not pass through the origin?

Back

If a graph does not pass through the origin, it indicates that the relationship is not proportional.

Front

What is the equation for finding cost (C) based on the number of guests (n) if each guest costs $2?

Back

C = 2n.

Front

What is the significance of a straight line in a proportional graph?

Back

A straight line indicates a constant rate of change, meaning the two quantities are proportional.

Front

How do you determine if a table represents a proportional relationship?

Back

A table represents a proportional relationship if the ratios of corresponding values are constant.

Front

What is an example of a proportional equation?

Back

An example of a proportional equation is y = 3x, where y is directly proportional to x.

Front

What does it mean if the Constant of Proportionality is negative?

Back

A negative Constant of Proportionality indicates an inverse relationship, where one quantity decreases as the other increases.