direct variation

Front

What is direct variation?

Back

Direct variation is a relationship between two variables where one variable is a constant multiple of the other. It can be expressed in the form y = kx, where k is a non-zero constant.

Front

What does the constant k represent in direct variation?

Back

The constant k represents the constant of variation or the rate of change between the two variables.

Front

If y = 3x, what is the value of k?

Back

k = 3.

Front

Is the equation y = 2x a direct variation?

Back

Yes, it is a direct variation because it can be expressed in the form y = kx.

Front

What is the unit rate?

Back

The unit rate is the ratio of a quantity to one unit of another quantity, often expressed as 'per' something.

Front

Find the unit rate: $4.50 for 6 pounds of oranges. How much does it cost for 1 pound?

Back

$0.75 per pound.

Front

What is the slope in the equation y = 5x + 2?

Back

The slope is 5.

Front

If the diameter of a tree increases by 2 inches every year, what is the rate of change?

Back

The rate of change is 2 inches per year.

Front

How do you determine if a relationship is proportional?

Back

A relationship is proportional if it can be expressed as y = kx, where k is a constant.

Front

What is another name for the slope in a linear equation?

Back

The slope is also known as the rate of change.