Direct and Inverse Proportions

Front

What is a direct proportion?

Back

A direct proportion is a relationship between two variables where an increase in one variable results in a proportional increase in the other variable, typically expressed as y = kx, where k is a constant.

Front

What is an inverse proportion?

Back

An inverse proportion is a relationship between two variables where an increase in one variable results in a proportional decrease in the other variable, typically expressed as y = k/x, where k is a constant.

Front

How do you determine if a relationship is a direct proportion?

Back

A relationship is a direct proportion if the ratio of the two variables remains constant as their values change.

Front

How do you determine if a relationship is an inverse proportion?

Back

A relationship is an inverse proportion if the product of the two variables remains constant as their values change.

Front

What is the formula for direct proportion?

Back

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

Front

What is the formula for inverse proportion?

Back

The formula for inverse proportion is y = k/x, where k is the constant of proportionality.

Front

If y = 2x, what type of proportion is this?

Back

This is a direct proportion.

Front

Given t is directly proportional to n^2, how do you find the equation?

Back

You can find the equation by using the form t = kn^2, where k is determined using given values.

Front

If t = 2 when v = 6 and t is inversely proportional to v, what is the equation for t and v?

Back

The equation is t = 12/v.

Front

If g is directly proportional to b and g = 20 when b = 4, what is the value of g when b = 7?

Back

g = 35 when b = 7.