18- Proportional Equations

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 is constant.

Front

What is the constant of proportionality?

Back

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

Front

How can you determine if a table represents a proportional relationship?

Back

A table represents a proportional relationship if the ratios of corresponding values (y/x) are the same for all pairs.

Front

What does the point (2, 10) on a distance-time graph represent if the graph shows a plane's travel?

Back

The point (2, 10) represents that the plane travels 10 miles in 2 minutes.

Front

What is the equation of a proportional relationship if the constant of proportionality is 3?

Back

The equation is y = 3x.

Front

What does it mean if an equation is non-proportional?

Back

An equation is non-proportional if the ratio of y to x is not constant.

Front

How do you identify a proportional relationship from a graph?

Back

A proportional relationship can be identified from a graph if it is a straight line that passes through the origin (0,0).

Front

What is the significance of the origin in proportional relationships?

Back

In proportional relationships, the origin (0,0) indicates that when one quantity is zero, the other quantity is also zero.

Front

If a table shows the values (1, 2), (2, 4), (3, 6), is it proportional?

Back

Yes, it is proportional because the ratio y/x is constant (2 in this case).

Front

What is the formula to find the constant of proportionality from a table?

Back

The constant of proportionality (k) can be found using the formula k = y/x for any pair of values.