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'. It shows how much one quantity changes in relation to another.

Front

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

Back

To find the constant of proportionality from a graph, identify two points on the line, (x1, y1) and (x2, y2), and use the formula k = \frac{y}{x}.

Front

What does a proportional relationship look like on a graph?

Back

A proportional relationship on a graph is represented by a straight line that passes through the origin (0,0).

Front

In the ordered pair (3, 6), what is the value of X?

Back

The value of X is 3.

Front

In the ordered pair (3, 6), what is the value of Y?

Back

The value of Y is 6.

Front

What is the unit rate?

Back

The unit rate is the constant of proportionality expressed as a quantity per one unit of another quantity.

Front

If the constant of proportionality is 4, how many cups are needed for 5 batches of cookies?

Back

20 cups (4 cups per batch x 5 batches = 20 cups).

Front

What is the Y-axis on a graph?

Back

The Y-axis is the vertical line on a graph that represents the dependent variable.

Front

What is the X-axis on a graph?

Back

The X-axis is the horizontal line on a graph that represents the independent variable.

Front

If the constant of proportionality is 2 cookies per guest, how many cookies are needed for 10 guests?

Back

20 cookies (2 cookies per guest x 10 guests = 20 cookies).