Constant of Proportionality (KD)

Front

What is the constant of proportionality?

Back

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

Front

What does it mean if a relationship is proportional?

Back

A relationship is proportional if it can be represented by a straight line that passes through the origin (0,0) and can be expressed in the form y = kx.

Front

What is the significance of the graph starting at the origin for proportional relationships?

Back

If a graph starts at the origin (0,0), it indicates that the relationship is proportional, meaning that when one quantity is zero, the other quantity is also zero.

Front

If k = 4, what does this imply about the relationship between x and y?

Back

If k = 4, it means that for every unit increase in x, y increases by 4 units, represented by the equation y = 4x.

Front

How do you determine if a relationship is proportional from a set of data points?

Back

To determine if a relationship is proportional, check if the ratio of y to x is constant for all data points.

Front

What is the formula for finding the constant of proportionality?

Back

The constant of proportionality can be found using the formula k = y/x, where y is the dependent variable and x is the independent variable.

Front

What does it mean if the constant of proportionality is 'none (not proportional)'?

Back

It means that the relationship between the variables does not maintain a constant ratio and cannot be expressed as y = kx.

Front

If a boat travels 45 miles for every 1 hour, what is the constant of proportionality?

Back

The constant of proportionality is k = 45.

Front

Write the equation for a proportional relationship where k = 1/2.

Back

The equation is y = (1/2)x.

Front

What is an example of a non-proportional relationship?

Back

An example of a non-proportional relationship is y = 2x + 3, as it does not pass through the origin.