Direct and Inverse Variations

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. What is the constant of variation?

• k = 123

• k = 20

• k = 6.15

• k = 0.16

In a direct variation, y = 39 when x = 3. 
Find the value of y when x = 2.

• 26

• 3

• 58.5

• 2

The amount of money earned on a job is directly proportional to the number of hours worked.  If $70.00 is earned in 5 hours, how much money is earned in 22 hours of work?

• $2

• $308

• $1.57

• $265

• direct variation
• inverse variation
• neither direct nor inverse variation

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

• 12 g

• 6 g

• 27 g

• 54 g

If m varies directly as p, and m = 35 when p = 5, find m when p is 6.

• 42

• 36

• 25

• 49

x and y are in inverse variation

x=6 and y=7

Given y=k/x... Find k

Mathematical Equivalence

ON

• direct variation
• inverse variation
• neither direct nor inverse variation

State what type of variation the equation represents.

• Direct

• Inverse

• Joint

• None

If x varies inversely as v, and x = 35 when v = 3, find x when v = 15.

• 7

• 9

• 5

• 21