Direct and Inverse Variation Quiz

What happens to y in a direct variation when x increases?

• y decreases

• y remains constant

• y increases

• y becomes zero

In an inverse variation, if x increases, what happens to y?

• y increases

• y decreases

• y remains constant

• y becomes zero

How do you determine if a relationship is a direct variation using a table?

• Multiply x and y to see if the product is constant

• Divide y by x to see if the quotient is constant

• Add x and y to see if the sum is constant

• Subtract x from y to see if the difference is constant

What is the constant k in an inverse variation if the product of x and y is always 18?

• 9

• 36

• 18

• 72

If dividing y by x gives a constant value, what type of variation is it?

• Neither

• Both

• Direct variation

• Inverse variation

In a direct variation, if y = 8x and x = 5, what is y?

• 40

• 45

• 13

• 50

What equation represents an inverse variation?

• y = k + x

• y = k/x

• y = k - x

• y = kx

In a real-world scenario, if the volume of gas varies inversely with pressure, what happens to the volume when pressure increases?

• Volume becomes zero

• Volume remains constant

• Volume decreases

• Volume increases

If the volume of a gas is 24 cubic inches at 3 psi, what is the constant k?

• 120

• 48

• 72

• 96

In a real-world example, if the length of a violin string is 12 and the constant k is 6300, what is the frequency?

• 525

• 630

• 840

• 735