Direct and Inverse Variates

Which of the following represents direct variation

• y = x/k

• y = kx

• y = mx + b

• y = k/x

Which of the following represents indirect variation?

• y = x/k

• y = kx

• y = mx + b

• y = k/x

The width of a rectangle varies inversely with its length. If the width is 6 when the length is 24, give an equation that shows the relationship

• y = 4/x

• y = 4x

• y = 144/x

• y = 144x

Y is directly proportional to the square of z and inversely proportional to w.

• y = w/kz

• y = w/kz²

• y = kz²/w

• y = kz/w

The interest received on a savings account varies directly with the amount deposited. Dany received $55.35 in interest on $1230 he deposited. How much interest would Dany have received if she had deposited $2000 into her account?

• 44,444.44

• 90.00

• 34.04

• 1285.35

Y varies inversely with x, and y is 0.5 when x is 4. Which equation represents this situation?

• y = 4x

• y = 2/x

• Y = X/2

• Y = 2X

The number of kilograms of water in a person's body varies directly as the person's mass. A person with a mass of 90 kg contains 60 kg of water. How many kilograms of water are in a person whose mass is 75 kg?

• 72 kg

• 94 kg

• 50 kg

• 150 kg

y varies directly with the square of x. If y = 20 when x = 4, find y when x = 7

• 122.5

• 70

• 17.5

• 61.25

y varies directly as the square of x and inversely with z. If y is 8 when x is 4 and z is 6, find y when x is 8 and z is 4.

• 48

• 16

• 24

• 3

y is directly variate to x. If y = 15 when x = 12 find y when x = 32

• -5

• 40

• -40

• 5