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.

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.

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.

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.

Front

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

Back

This represents an inverse proportion.

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.