Direct, Inverse, Joint Variations

What is the relationship between the number of items in a shipment and the time required to process it in direct variation?

• As the number of items increases, the time required decreases.

• As the number of items increases, the time required remains constant.

• As the number of items increases, the time required increases.

• There is no relationship between the number of items and the time required.

If the number of workers increases, how does it affect the time required to process a shipment in direct variation?

• The time required decreases.

• The time required increases.

• The time required remains the same.

• The time required fluctuates.

What is the formula for direct variation?

• y = kx, where k is a constant.

• y = k/x, where k is a constant.

• y = k + x, where k is a constant.

• y = k - x, where k is a constant.

The weight of a liquid varies directly as its volume. If the weight of the liquid in a cubical container 5 cm on a side is 250 g, what is the weight of the liquid in a cubical container 3 cm on a side?

• 54 g

• 30 g

• 100 g

• 75 g

The frequency of a vibrating string varies inversely as its length. If a 3-foot string vibrates at 175 cycles per second, what is the frequency of a 5-foot string?

• 175 cycles

• 120 cycles

• 105 cycles

• 90 cycles

What is the formula for joint variation?

• z = kxy, where k is a constant.

• z = k/x, where k is a constant.

• z = k + xy, where k is a constant.

• z = k - xy, where k is a constant.

What type of variation is represented by the equation y = kx^2?

• Direct variation.

• Inverse variation.

• Joint variation.

• Partial variation.

If x varies inversely with v, and x = 35 when v = 3, what is the value of x when v = 15?

• 3

• 5

• 7

• 10

If x varies directly with y and inversely with z, how can this be expressed mathematically?

• x = k(y/z), where k is a constant.

• x = k(y+z), where k is a constant.

• x = k(y-z), where k is a constant.

• x = k(y*z), where k is a constant.

If y varies directly with x, and y = 10 when x = 2, what is the value of y when x = 5?

• y = 20

• y = 25

• y = 30

• y = 15