constant of proportionality

Front

What is the 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 tell if a table of values is proportional?

Back

A table of values is proportional if the ratio of the y-values to the x-values is constant.

Front

What does it mean for a graph to be proportional?

Back

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

Front

What is the unit rate?

Back

The unit rate is the ratio of two measurements in which the second measurement is 1. It shows how much of one quantity corresponds to one unit of another quantity.

Front

In the equation y = kx, what does 'k' represent?

Back

'k' represents the constant of proportionality, which is the factor that relates x and y.

Front

If the constant of proportionality is 14, what is the relationship between x and y in the equation y = 14x?

Back

For every increase of 1 in x, y increases by 14.

Front

What is an example of a proportional relationship in real life?

Back

An example is the cost of apples: if 1 apple costs $2, then 3 apples cost $6, maintaining a constant ratio.

Front

How do you find the constant of proportionality from a graph?

Back

You can find it by determining the slope of the line, which is the change in y divided by the change in x.

Front

What is the significance of the origin in proportional graphs?

Back

The origin (0,0) is significant because it indicates that when x is 0, y is also 0, which is a characteristic of proportional relationships.

Front

If a graph is curvy, is it proportional?

Back

No, a curvy graph indicates a non-proportional relationship.