Constant Of Proportionality Graph

Front

What is a constant of proportionality?

Back

The constant of proportionality is the ratio between two proportional quantities, often represented as k in the equation y = kx.

Front

How can you identify a proportional relationship from a graph?

Back

A proportional relationship can be identified from a graph if the line passes through the origin (0,0) and is straight.

Front

What does it mean if a graph does not show a proportional relationship?

Back

If a graph does not show a proportional relationship, it means that the ratio between the quantities is not constant and does not form a straight line through the origin.

Front

What is the unit rate?

Back

The unit rate is the ratio of two measurements in which the second quantity is one unit, often used to express the constant of proportionality.

Front

How do you calculate the constant of proportionality from a given situation?

Back

To calculate the constant of proportionality, divide the dependent variable by the independent variable (k = y/x).

Front

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

Back

The slope of a line in a proportional relationship graph represents the constant of proportionality.

Front

If the constant of proportionality is 2 bedsheets per minute, how many bedsheets are produced in 5 minutes?

Back

10 bedsheets (2 bedsheets/minute * 5 minutes = 10 bedsheets).

Front

What does the equation y = kx represent in a proportional relationship?

Back

The equation y = kx represents a linear relationship where y is the dependent variable, x is the independent variable, and k is the constant of proportionality.

Front

If the constant of proportionality is 12 dollars per suit, how much would 3 suits cost?

Back

36 dollars (12 dollars/suit * 3 suits = 36 dollars).

Front

What is the relationship between the constant of proportionality and the y-intercept in a proportional graph?

Back

In a proportional graph, the y-intercept is always 0, meaning the line passes through the origin.