Jan 7 Inverse Variation

Front

What is inverse variation?

Back

Inverse variation is a relationship between two variables, x and y, such that when one variable increases, the other decreases. Mathematically, it can be expressed 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 vice versa. The product of x and y remains constant.

Front

How do you find the constant of variation in inverse variation?

Back

To find the constant of variation (k), multiply the values of x and y when they are known: k = x * y.

Front

If y = 23 when x = 8, what is the constant of variation?

Back

k = 8 * 23 = 184.

Front

If y varies inversely with x and k = 184, what is y when x = 4?

Back

y = k/x = 184/4 = 46.

Front

Does the table show an inverse variation?

Back

To determine if a table shows inverse variation, check if the product of corresponding x and y values is constant.

Front

Which of the following tables represents an inverse variation?

Back

A table where the product of x and y values is the same for all pairs.

Front

If y = 150 when x = 2, what is y when x = 25?

Back

k = 2 * 150 = 300; y = k/x = 300/25 = 12.

Front

Given that y varies inversely with x, if x = 7 and y = 4, what is y when x = 2?

Back

k = 7 * 4 = 28; y = k/x = 28/2 = 14.

Front

What is the formula for inverse variation?

Back

The formula for inverse variation is y = k/x, where k is a constant.