Ratios/Rates/Tables and Graphs

Front

What is a ratio?

Back

A ratio is a comparison of two quantities that shows the relative size of one quantity to another, often expressed as 'a to b' or a:b.

Front

What is a rate?

Back

A rate is a specific kind of ratio that compares two different units, such as speed (miles per hour) or price per item.

Front

What is a constant of proportionality?

Back

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

Front

How can you determine if a graph is proportional?

Back

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

Front

What does it mean if a relationship is non-proportional?

Back

A non-proportional relationship does not maintain a constant ratio between two quantities and does not pass through the origin.

Front

What is the formula for finding the constant of proportionality from a table?

Back

To find the constant of proportionality, divide the output value by the input value (k = y/x).

Front

What is the significance of the y-intercept in a graph?

Back

The y-intercept is the point where the graph crosses the y-axis, indicating the value of y when x is zero.

Front

What does it mean for a graph to intersect the x-axis?

Back

When a graph intersects the x-axis, it means that the output value (y) is zero at that point.

Front

How do you identify proportional relationships in tables?

Back

In a table, if the ratio of corresponding values remains constant, the relationship is proportional.

Front

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

Back

An example of a proportional relationship is the cost of apples if they are sold at a constant price per pound.