VARIATION

Front

If s varies directly as t and inversely as v, what is the equation that describes the relationship?

Back

s = kt / v

Front

The cost c varies directly as the number of n pencils. Write the equation for this relationship.

Back

c = kn

Front

The time required to process a shipment varies directly with the number of items and inversely with the number of workers. What is the relationship?

Back

Time = k * (Items / Workers)

Front

If y varies directly as x and y = 24 when x = 3, what is the value of k?

Back

k = 8

Front

The number of hours to paint a house varies inversely with the number of painters. What is the relationship?

Back

Hours = k / Painters

Front

Define direct variation.

Back

Direct variation occurs when one variable is a constant multiple of another variable.

Front

Define inverse variation.

Back

Inverse variation occurs when one variable increases while the other decreases, such that their product is constant.

Front

What is the formula for direct variation?

Back

y = kx, where k is the constant of variation.

Front

What is the formula for inverse variation?

Back

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

Front

If 15,000 items can be processed by 8 workers in 10 hours, how would you set up the equation to find the time for 12 workers to process 20,000 items?

Back

Set up the equation: (Items / Workers) = (Time) and solve for Time.