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, expressed 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 value of y by the value of x for any pair of corresponding values.

Front

What does a scale of 1cm = 8km mean?

Back

It means that every 1 centimeter on the map represents 8 kilometers in actual distance.

Front

If two cities are 24cm apart on a map with a scale of 1cm = 8km, what is the actual distance?

Back

The actual distance is 192 km (24cm x 8km/cm).

Front

What is a scale factor?

Back

A scale factor is a number that scales, or multiplies, some quantity. It is the ratio of a length in a scaled drawing to the corresponding length in the actual object.

Front

How do you determine if an equation represents a proportional relationship?

Back

An equation represents a proportional relationship if it can be expressed in the form y = kx, where k is a constant.

Front

What is the formula to calculate the cost per pound of grapes?

Back

Cost per pound = Total cost / Number of pounds.

Front

If 4 pounds of grapes cost $24.36, what is the cost per pound?

Back

The cost per pound is $6.09 ($24.36 / 4 pounds).

Front

What is the relationship between distance and time in a proportional relationship?

Back

In a proportional relationship, if distance increases, time increases at a constant rate, and vice versa.