Inverse Variation Exit activity

Inverse variation is a relationship between two variables where an increase in one variable results in a decrease in the other, and vice versa. It can be expressed mathematically as y = k/x, where k is a constant.

If y varies inversely as x, then as x increases, y decreases, and as x decreases, y increases. The product of x and y remains constant.

The constant of variation (k) in inverse variation is the product of the two variables. For example, if y = k/x, then k = xy.

To find the constant k, multiply the x and y values: k = 5 * 20 = 100.

A relationship is an inverse variation if it can be expressed in the form y = k/x, where k is a non-zero constant.

The equation of inverse variation is y = k/x, where k is the constant of variation.

It will take 17 days for 25 workers to build the house.

When x = 14, y = 9/7.

The equation y = 10/x represents an inverse variation.

To determine if a table represents direct or inverse variation, check if the product of the x and y values is constant (inverse) or if the ratio of y to x is constant (direct).