Inverse Variation

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 with x, what is the relationship between x and y?

Back

If y varies inversely with x, then as x increases, y decreases, and as x decreases, y increases.

Front

What is the formula for inverse variation?

Back

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

Front

If x = 7 when y = 4, what is the constant k in the inverse variation equation?

Back

To find k, use the equation k = xy. Here, k = 7 * 4 = 28.

Front

If k = 28, what is y when x = 2?

Back

Using the formula y = k/x, y = 28/2 = 14.

Front

How does the number of workers affect the time to complete a job in inverse variation?

Back

As the number of workers increases, the time to complete the job decreases, and vice versa.

Front

If 7 electricians take 4 hours to complete a job, how long will it take 3 electricians?

Back

Using inverse variation, if 7 electricians take 4 hours, then 3 electricians will take 9 hours and 20 minutes.

Front

What does it mean if b varies inversely as n?

Back

It means that as b increases, n decreases, and as b decreases, n increases, following the relationship b = k/n.

Front

If b = 6 when n = 2, what is the value of n when b = 12?

Back

Using the inverse variation formula, k = bn = 6 * 2 = 12. When b = 12, n = k/b = 12/12 = 1.

Front

What is the equation for force if it varies inversely as length?

Back

The equation is F = k/L, where k is a constant.