Direct Variation Review
Equation: ___________________________ Constant of Variation _________________ Graph: _______________________________
-------------------------------------------------------------------------------------------------------------------------------------------Write an equation for the following:
1.) “m varies directly as t”
2.) “h varies directly as j”
3.) “x varies directly as y”
Determine if each graph represents a direct variation. If so, find the constant of variation and write the direct
variation equation.
4.)
5.)
6.)
Determine if each equation represents a direct variation. If so, find the constant of variation.
7.) 7x – 3y = 0
8.) y + 5 = 3x + 5
9.) 3y – 4 = 2x + 2
Determine if each table represents a direct variation. If so, find the constant of variation and write the direct
variation equation.
10.)
11.)
12.)
13.) The number of calories in a container of milk is directly proportional to the amount of milk in the
container. If there are 160 calories in an 8-ounce glass of milk, find the number of calories in a 15-ounce
glass of milk.
14.) The distance from lightning varies directly with the time it takes you to hear thunder. If you hear thunder
10 seconds after you see lightning, you are about 2 miles from the lightning. Estimate how many seconds
it would take for thunder to travel a distance of 4 miles.
Inverse Variation Review
Equation: ___________________________________
Constant of Variation: _________
--------------------------------------------------------------------------------------------------------------------------------------Write an equation for the following:
1.) “r varies inversely as s”
2.) “d varies inversely as c”
3.) “x varies inversely as y”
Determine if each equation represents an inverse variation. If so, find the constant of variation and write the
inverse variation equation, if possible.
4.) xy = 4
5.)
6.)
Determine if each table represents an inverse variation. If so, find the constant of variation and write the
inverse variation equation.
5.)
6.)
7.)
Answer the following:
8.) The time it takes to paint a house is inversely proportional to the number of painters on the job. If it takes
3 painters 24 hours to paint a house, how long will it take 4 painters to paint the same house?
9.) The cost per person to rent a cabin is inversely proportional to the number of people who share the rent. If
the cost is $36 per person when 5 people share, what is the cost per person when 8 people share?