Proportional Tables,Graphs, & Equations

Front

What is a proportional relationship?

Back

A proportional relationship is one where two quantities maintain a constant ratio or rate. If one quantity increases, the other increases at the same rate.

Front

How can you identify a proportional graph?

Back

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

Front

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

Back

A non-proportional graph does not maintain a constant ratio between the x and y values and does not pass through the origin.

Front

What is the formula to determine if a relationship is proportional using a table?

Back

Divide y by x. If the result is constant for all pairs, the relationship is proportional.

Front

What does the slope of a proportional graph represent?

Back

The slope represents the constant ratio between the two quantities.

Front

If x = 3 and y = 12, is the relationship proportional?

Back

Yes, because 12 divided by 3 equals 4, which is a constant ratio.

Front

What is the total cost of 5 tickets if each ticket costs $100?

Back

$500.

Front

How can you tell if a table shows a proportional relationship?

Back

Look for a constant ratio between corresponding x and y values.

Front

What is the y-intercept of a proportional graph?

Back

The y-intercept is 0, as the line passes through the origin.

Front

If a graph shows a curve instead of a straight line, is it proportional?

Back

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