Inverse Variation Exit activity

Front

What is inverse variation?

Back

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.

Front

If y varies inversely as x, what is the relationship between x and y?

Back

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.

Front

What is the constant of variation in inverse variation?

Back

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

Front

Given the points (5, 20), how do you find the constant k for inverse variation?

Back

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

Front

How do you determine if a relationship is an inverse variation?

Back

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

Front

What is the equation of inverse variation?

Back

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

Front

If 5 workers can build a house in 85 days, how many days will it take 25 workers?

Back

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

Front

If y = -3 when x = -6, what is y when x = 14?

Back

When x = 14, y = 9/7.

Front

What does the equation y = 10/x represent?

Back

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

Front

How can you tell from a table if it represents direct or inverse variation?

Back

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).