Proportional Tables and Graphs

Front

What is a proportional relationship?

Back

A proportional relationship is a relationship between two quantities where the ratio of one quantity to the other quantity is constant.

Front

How can you identify a proportional relationship in a table?

Back

You can identify a proportional relationship in a table by dividing y by x; if the result is constant for all pairs, the relationship is proportional.

Front

What does it mean if a table is proportional?

Back

If a table is proportional, it means that as one quantity increases, the other quantity increases at a constant rate.

Front

What is the unit rate?

Back

The unit rate is the ratio of two measurements in which the second quantity is one unit.

Front

How do you find the unit rate from a given cost?

Back

To find the unit rate, divide the total cost by the number of units.

Front

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

Back

The formula is y = kx, where k is the constant of proportionality.

Front

What does a proportional graph look like?

Back

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

Front

What does a non-proportional graph look like?

Back

A non-proportional graph does not pass through the origin and may be curved or straight but does not maintain a constant ratio.

Front

If a table shows the values (2,4), (3,6), (4,8), is it proportional?

Back

Yes, it is proportional because the ratio of y to x is constant (2:1).

Front

If a table shows the values (1,2), (2,5), (3,7), is it proportional?

Back

No, it is not proportional because the ratio of y to x is not constant.