Direct and inverse proportion

Front

What is direct proportion?

Back

Direct proportion is a relationship between two variables where an increase in one variable results in a proportional increase in the other variable, and vice versa.

Tags

CCSS.7.RP.A.2D

Front

What is inverse proportion?

Back

Inverse proportion is a relationship between two variables where an increase in one variable results in a proportional decrease in the other variable, and vice versa.

Tags

CCSS.HSF-LE.A.1B

Front

How does current affect potential difference when resistance is constant?

Back

When current decreases and resistance remains constant, the potential difference also decreases.

Front

If 4 people can complete a job in 8 hours, how long will it take 5 people to complete the same job?

Back

It will take less time due to inverse variation; specifically, it will take 6.4 hours.

Tags

CCSS.HSF-LE.A.1B

Front

What is the formula for direct variation?

Back

The formula for direct variation is y = kx, where k is a constant.

Front

What is the formula for inverse variation?

Back

The formula for inverse variation is xy = k, where k is a constant.

Front

If the speed of travel increases, what happens to the time taken for a fixed distance?

Back

The time taken decreases, demonstrating inverse variation.

Front

What type of relationship is represented by the equation y = 3x?

Back

This represents a direct proportion.

Tags

CCSS.HSF-LE.A.1B

Front

What type of relationship is represented by the equation xy = 12?

Back

This represents an inverse proportion.

Tags

CCSS.HSF-LE.A.1B

Front

If it takes 52 minutes to bike at 9.5 mph, how long will it take at 11 mph?

Back

It will take approximately 45 minutes.

Tags

CCSS.HSF-LE.A.1B