Exploring Direct, Joint, and Inverse Variation

What type of variation involves a single variable multiplied by a constant?

• None of the above

• Direct variation

• Inverse variation

• Joint variation

In problem 16, what is the constant of variation?

• 1/3

• 5

• 18

• -18

Which problem demonstrates joint variation?

• Problem 43

• Problem 20

• Problem 16

• Problem 26

If y varies directly as x and y = 15 when x = 3, what is y when x = 12?

• 20

• 45

• 60

• 30

In a joint variation, if y = kxz and y = 80 when x = 5 and z = 8, what is k?

• 5

• 10

• 2

• 1

What is y when x = 16 and z = 2 in the joint variation equation y = kxz?

• 32

• 64

• 128

• 256

In an inverse variation, if y = k/x and y = 2 when x = 25, what is k?

• 12.5

• 50

• 75

• 100

How much meat do three Siberian tigers need for the month of January?

• 1860 pounds

• 620 pounds

• 930 pounds

• 1240 pounds

What type of variation is used to calculate the meat required for Siberian tigers over days?

• None of the above

• Inverse variation

• Joint variation

• Direct variation

If y varies inversely as x and y = 50/x, what is x when y = 40?

• 2.5

• 1.2

• 5/4

• 1.25