Direct Variation and Proportionality

A person’s weekly pay is directly proportional to the number of hours worked. Shawn’s pay is $123.00 for 20 hours of work. Find the amount of pay for 31 hours of work. 

• $3813

• $620

• $190.65

• $4.96

Write an equation for this relationship.

• y=4x

• y=1/8x

• y=1/4x

• y=8x

Which of the given graphs is a direct variation?

• A

• B

• C

• D

Write an equation for this situation.

• y=9.75x

• y=19x

• y=19.25x

• y=9.5x

Write the equation for the table given.

• y = 1/3x

• y = 3x

• y = 1/2x

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?

• 50 kg water

• 72 kg water

• 94 kg water

• 150 kg water

On a treasure map, the actual distance is directly related to the scaled distance.  If 15 miles is represented by 3 centimeters, then how many centimeters on the treasure map are equivalent to 135 miles?

• 27 cm

• 675 cm

• 529 cm

• 32 cm

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

• 34.04

• 90.00

• 1,285.35

• 44,444.44

At what rate did the rain fall?

• 2 cm per hour

• ¹/₄ cm per hour

• ¹/₂ cm per hour

• 4 cm per hour

What does the Direct Variation Equation look like?

• y= kx

• y = mx + b

• y = b

• y = x