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.

Tags

CCSS.HSF-LE.A.1B

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.

Tags

CCSS.HSF-LE.A.1B

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.

Tags

CCSS.7.RP.A.2A

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.

Tags

CCSS.HSF-LE.A.1B

Front

What is the formula for direct proportion?

Back

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

Tags

CCSS.7.RP.A.2B

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.

Tags

CCSS.HSF-LE.A.1B

Front

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

Back

This is a direct proportion.

Tags

CCSS.HSF-LE.A.1B

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.