Proportional Relationships

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

What is the 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 do you find the constant of proportionality from a table?

Back

To find the constant of proportionality from a table, divide the output value (y) by the input value (x) for any pair of corresponding values.

Front

If a map scale reads 1 inch : 114 miles, how do you calculate the actual distance?

Back

Multiply the measured distance in inches by the scale factor (114 miles) to find the actual distance.

Front

What is the formula to find the distance traveled at a constant speed?

Back

Distance = Speed × Time.

Front

If Jeff ran 6 miles in 4 hours, what is his speed?

Back

Speed = Distance / Time = 6 miles / 4 hours = 1.5 miles per hour.

Front

If the constant of proportionality is 15, what is the relationship between x and y?

Back

y = 15x.

Front

What does the graph of a proportional relationship look like?

Back

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

Front

How do you determine if two ratios are proportional?

Back

Two ratios are proportional if their cross products are equal.

Front

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

Back

An example is the relationship between distance and time when driving at a constant speed.